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968130912 = 25379411531
BaseRepresentation
bin111001101101001…
…000000101100000
32111110201010221110
4321231020011200
53440320142122
6240022223320
732663656050
oct7155100540
92443633843
10968130912
114575370a1
12230284b40
1312575c538
1492813560
1559ed890c
hex39b48160

968130912 has 96 divisors (see below), whose sum is σ = 2909378304. Its totient is φ = 276134400.

The previous prime is 968130869. The next prime is 968130979. The reversal of 968130912 is 219031869.

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

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, 631587 + ... + 633117.

It is an arithmetic number, because the mean of its divisors is an integer number (30306024).

Almost surely, 2968130912 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 968130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454689152).

968130912 is an abundant number, since it is smaller than the sum of its proper divisors (1941247392).

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

968130912 is a wasteful number, since it uses less digits than its factorization.

968130912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 968130912 is about 31114.8021366037. The cubic root of 968130912 is about 989.2620804550.

The spelling of 968130912 in words is "nine hundred sixty-eight million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 941 1531 1882 2823 3062 3764 4593 5646 6124 6587 7528 9186 10717 11292 12248 13174 15056 18372 19761 21434 22584 24496 26348 30112 32151 36744 39522 42868 45168 48992 52696 64302 73488 79044 85736 90336 105392 128604 146976 158088 171472 210784 257208 316176 342944 514416 632352 1028832 1440671 2881342 4322013 5762684 8644026 10084697 11525368 17288052 20169394 23050736 30254091 34576104 40338788 46101472 60508182 69152208 80677576 121016364 138304416 161355152 242032728 322710304 484065456 968130912