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270185740 = 225112971151
BaseRepresentation
bin10000000110101…
…011010100001100
3200211101212011021
4100012223110030
51023131420430
642451003524
76460353346
oct2006532414
9624355137
10270185740
11129570600
12765995a4
1343c8c526
1427c52296
1518ac007a
hex101ab50c

270185740 has 72 divisors (see below), whose sum is σ = 630637056. Its totient is φ = 97152000.

The previous prime is 270185737. The next prime is 270185819. The reversal of 270185740 is 47581072.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 270185696 and 270185705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234165 + ... + 235315.

It is an arithmetic number, because the mean of its divisors is an integer number (8758848).

Almost surely, 2270185740 is an apocalyptic number.

270185740 is a gapful number since it is divisible by the number (20) 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 270185740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315318528).

270185740 is an abundant number, since it is smaller than the sum of its proper divisors (360451316).

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

270185740 is a wasteful number, since it uses less digits than its factorization.

270185740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 270185740 is about 16437.3276416819. The cubic root of 270185740 is about 646.4785821848.

The spelling of 270185740 in words is "two hundred seventy million, one hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 121 194 220 242 388 484 485 605 970 1067 1151 1210 1940 2134 2302 2420 4268 4604 5335 5755 10670 11510 11737 12661 21340 23020 23474 25322 46948 50644 58685 63305 111647 117370 126610 139271 223294 234740 253220 278542 446588 557084 558235 696355 1116470 1228117 1392710 2232940 2456234 2785420 4912468 6140585 12281170 13509287 24562340 27018574 54037148 67546435 135092870 270185740