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74220960 = 25351114057
BaseRepresentation
bin1000110110010…
…00010110100000
312011122211000110
410123020112200
5123000032320
611210451320
71560603432
oct433102640
9164584013
1074220960
1138994340
1220a33b40
13124b8b38
149c00652
1567b15e0
hex46c85a0

74220960 has 96 divisors (see below), whose sum is σ = 255068352. Its totient is φ = 17991680.

The previous prime is 74220953. The next prime is 74220989. The reversal of 74220960 is 6902247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749 + ... + 12308.

It is an arithmetic number, because the mean of its divisors is an integer number (2656962).

Almost surely, 274220960 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 74220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127534176).

74220960 is an abundant number, since it is smaller than the sum of its proper divisors (180847392).

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

74220960 is a wasteful number, since it uses less digits than its factorization.

74220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74220960 is about 8615.1587333026. The cubic root of 74220960 is about 420.2510970173.

The spelling of 74220960 in words is "seventy-four million, two hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 14057 28114 42171 56228 70285 84342 112456 140570 154627 168684 210855 224912 281140 309254 337368 421710 449824 463881 562280 618508 674736 773135 843420 927762 1124560 1237016 1349472 1546270 1686840 1855524 2249120 2319405 2474032 3092540 3373680 3711048 4638810 4948064 6185080 6747360 7422096 9277620 12370160 14844192 18555240 24740320 37110480 74220960