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968259140 = 2251716191759
BaseRepresentation
bin111001101101100…
…111011001000100
32111110221122211122
4321231213121010
53440333243030
6240025053112
732665031642
oct7155473104
92443848748
10968259140
11457614472
12230327198
131257a5a04
1492848192
155a0118e5
hex39b67644

968259140 has 48 divisors (see below), whose sum is σ = 2155507200. Its totient is φ = 364088832.

The previous prime is 968259119. The next prime is 968259167. The reversal of 968259140 is 41952869.

It is a junction number, because it is equal to n+sod(n) for n = 968259091 and 968259100.

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, 549581 + ... + 551339.

It is an arithmetic number, because the mean of its divisors is an integer number (44906400).

Almost surely, 2968259140 is an apocalyptic number.

It is an amenable number.

968259140 is an abundant number, since it is smaller than the sum of its proper divisors (1187248060).

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

968259140 is a wasteful number, since it uses less digits than its factorization.

968259140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 968259140 is about 31116.8626310559. The cubic root of 968259140 is about 989.3057541278.

The spelling of 968259140 in words is "nine hundred sixty-eight million, two hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1619 1759 3238 3518 6476 7036 8095 8795 16190 17590 27523 29903 32380 35180 55046 59806 110092 119612 137615 149515 275230 299030 550460 598060 2847821 5695642 11391284 14239105 28478210 48412957 56956420 96825914 193651828 242064785 484129570 968259140