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5740174000 = 2453111132309
BaseRepresentation
bin1010101100010010…
…00001101010110000
3112211001011001102001
411112021001222300
543223441032000
62345331503344
7262150450111
oct52611015260
915731131361
105740174000
1124861a6760
121142457b54
137062c5a82
143c64d6208
15238e1246a
hex156241ab0

5740174000 has 160 divisors (see below), whose sum is σ = 15282146880. Its totient is φ = 2067968000.

The previous prime is 5740173977. The next prime is 5740174007. The reversal of 5740174000 is 4710475.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5740174000.

It is not an unprimeable number, because it can be changed into a prime (5740174007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484846 + ... + 2487154.

It is an arithmetic number, because the mean of its divisors is an integer number (95513418).

Almost surely, 25740174000 is an apocalyptic number.

5740174000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

5740174000 is an abundant number, since it is smaller than the sum of its proper divisors (9541972880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5740174000 is a wasteful number, since it uses less digits than its factorization.

5740174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 5740174000 is about 75763.9360117992. The cubic root of 5740174000 is about 1790.5028600824.

Adding to 5740174000 its reverse (4710475), we get a palindrome (5744884475).

The spelling of 5740174000 in words is "five billion, seven hundred forty million, one hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 125 176 200 220 226 250 275 400 440 452 500 550 565 880 904 1000 1100 1130 1243 1375 1808 2000 2200 2260 2309 2486 2750 2825 4400 4520 4618 4972 5500 5650 6215 9040 9236 9944 11000 11300 11545 12430 14125 18472 19888 22000 22600 23090 24860 25399 28250 31075 36944 45200 46180 49720 50798 56500 57725 62150 92360 99440 101596 113000 115450 124300 126995 155375 184720 203192 226000 230900 248600 253990 260917 288625 310750 406384 461800 497200 507980 521834 577250 621500 634975 923600 1015960 1043668 1154500 1243000 1269950 1304585 2031920 2087336 2309000 2486000 2539900 2609170 2870087 3174875 4174672 4618000 5079800 5218340 5740174 6349750 6522925 10159600 10436680 11480348 12699500 13045850 14350435 20873360 22960696 25399000 26091700 28700870 32614625 45921392 50798000 52183400 57401740 65229250 71752175 104366800 114803480 130458500 143504350 229606960 260917000 287008700 358760875 521834000 574017400 717521750 1148034800 1435043500 2870087000 5740174000