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968993960 = 2351112311789
BaseRepresentation
bin111001110000011…
…010110010101000
32111112022222211012
4321300122302220
53441030301320
6240052523052
733004212164
oct7160326250
92445288735
10968993960
11457a76560
12230620488
131259a230c
1492999ca4
155a1094c5
hex39c1aca8

968993960 has 64 divisors (see below), whose sum is σ = 2381702400. Its totient is φ = 351878400.

The previous prime is 968993957. The next prime is 968993983. The reversal of 968993960 is 69399869.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 968993960.

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, 540746 + ... + 542534.

It is an arithmetic number, because the mean of its divisors is an integer number (37214100).

Almost surely, 2968993960 is an apocalyptic number.

It is an amenable number.

968993960 is an abundant number, since it is smaller than the sum of its proper divisors (1412708440).

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

968993960 is a wasteful number, since it uses less digits than its factorization.

968993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 59.

The square root of 968993960 is about 31128.6678160181. The cubic root of 968993960 is about 989.5559549961. Note that the first 3 decimals are identical.

The spelling of 968993960 in words is "nine hundred sixty-eight million, nine hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1231 1789 2462 3578 4924 6155 7156 8945 9848 12310 13541 14312 17890 19679 24620 27082 35780 39358 49240 54164 67705 71560 78716 98395 108328 135410 157432 196790 270820 393580 541640 787160 2202259 4404518 8809036 11011295 17618072 22022590 24224849 44045180 48449698 88090360 96899396 121124245 193798792 242248490 484496980 968993960