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74968040 = 23572231663
BaseRepresentation
bin1000111011111…
…10101111101000
312020001202211002
410131332233220
5123142434130
611234454132
71600134500
oct435765750
9166052732
1074968040
1139354664
1221134348
13126babb4
149d56a00
1568acb45
hex477ebe8

74968040 has 96 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 24571008.

The previous prime is 74968039. The next prime is 74968043. The reversal of 74968040 is 4086947.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74967985 and 74968003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74968043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44249 + ... + 45911.

It is an arithmetic number, because the mean of its divisors is an integer number (2134080).

Almost surely, 274968040 is an apocalyptic number.

74968040 is a gapful number since it is divisible by the number (70) 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 74968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

74968040 is an abundant number, since it is smaller than the sum of its proper divisors (129903640).

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

74968040 is a wasteful number, since it uses less digits than its factorization.

74968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 74968040 is about 8658.4086297656. The cubic root of 74968040 is about 421.6564216779.

The spelling of 74968040 in words is "seventy-four million, nine hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1663 1960 2254 3220 3326 4508 5635 6440 6652 8315 9016 11270 11641 13304 16630 22540 23282 33260 38249 45080 46564 58205 66520 76498 81487 93128 116410 152996 162974 191245 232820 267743 305992 325948 382490 407435 465640 535486 651896 764980 814870 1070972 1338715 1529960 1629740 1874201 2141944 2677430 3259480 3748402 5354860 7496804 9371005 10709720 14993608 18742010 37484020 74968040