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74379960 = 23325307673
BaseRepresentation
bin1000110111011…
…11001010111000
312011221220010100
410123233022320
5123020124320
611214115400
71562135124
oct433571270
9164856110
1074379960
1138a92846
1220aabb60
1312543315
149c42584
1567e3790
hex46ef2b8

74379960 has 96 divisors (see below), whose sum is σ = 242882640. Its totient is φ = 19740672.

The previous prime is 74379941. The next prime is 74379961. The reversal of 74379960 is 6997347.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74379961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110184 + ... + 110856.

Almost surely, 274379960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121441320).

74379960 is an abundant number, since it is smaller than the sum of its proper divisors (168502680).

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

74379960 is a wasteful number, since it uses less digits than its factorization.

74379960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 74379960 is about 8624.3817169696. The cubic root of 74379960 is about 420.5509775635.

The spelling of 74379960 in words is "seventy-four million, three hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 307 360 614 673 921 1228 1346 1535 1842 2019 2456 2692 2763 3070 3365 3684 4038 4605 5384 5526 6057 6140 6730 7368 8076 9210 10095 11052 12114 12280 13460 13815 16152 18420 20190 22104 24228 26920 27630 30285 36840 40380 48456 55260 60570 80760 110520 121140 206611 242280 413222 619833 826444 1033055 1239666 1652888 1859499 2066110 2479332 3099165 3718998 4132220 4958664 6198330 7437996 8264440 9297495 12396660 14875992 18594990 24793320 37189980 74379960