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916868320 = 25523733413
BaseRepresentation
bin110110101001100…
…100110011100000
32100220020201212221
4312221210303200
53334204241240
6230551400424
731502152324
oct6651446340
92326221787
10916868320
11430603815
12217083114
13117c51544
1489aab984
155575ea4a
hex36a64ce0

916868320 has 96 divisors (see below), whose sum is σ = 2291913792. Its totient is φ = 345894912.

The previous prime is 916868311. The next prime is 916868357. The reversal of 916868320 is 23868619.

It is a congruent number.

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, 266934 + ... + 270346.

It is an arithmetic number, because the mean of its divisors is an integer number (23874102).

Almost surely, 2916868320 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 916868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145956896).

916868320 is an abundant number, since it is smaller than the sum of its proper divisors (1375045472).

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

916868320 is a wasteful number, since it uses less digits than its factorization.

916868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 916868320 is about 30279.8335530432. The cubic root of 916868320 is about 971.4840075466.

The spelling of 916868320 in words is "nine hundred sixteen million, eight hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 73 80 92 115 146 160 184 230 292 365 368 460 584 730 736 920 1168 1460 1679 1840 2336 2920 3358 3413 3680 5840 6716 6826 8395 11680 13432 13652 16790 17065 26864 27304 33580 34130 53728 54608 67160 68260 78499 109216 134320 136520 156998 249149 268640 273040 313996 392495 498298 546080 627992 784990 996596 1245745 1255984 1569980 1993192 2491490 2511968 3139960 3986384 4982980 5730427 6279920 7972768 9965960 11460854 12559840 19931920 22921708 28652135 39863840 45843416 57304270 91686832 114608540 183373664 229217080 458434160 916868320