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968971956 = 2231967137463
BaseRepresentation
bin111001110000010…
…101011010110100
32111112021212122020
4321300111122310
53441024100311
6240052233140
733004061061
oct7160253264
92445255566
10968971956
11457a60a77
1223060b7b0
131259952b4
1492991c68
155a102c06
hex39c156b4

968971956 has 96 divisors (see below), whose sum is σ = 2438338560. Its totient is φ = 298577664.

The previous prime is 968971943. The next prime is 968971957. The reversal of 968971956 is 659179869.

968971956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 968971956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968971957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092581 + ... + 2093043.

It is an arithmetic number, because the mean of its divisors is an integer number (25399360).

Almost surely, 2968971956 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 968971956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219169280).

968971956 is an abundant number, since it is smaller than the sum of its proper divisors (1469366604).

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

968971956 is a wasteful number, since it uses less digits than its factorization.

968971956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 60.

The square root of 968971956 is about 31128.3143777494. The cubic root of 968971956 is about 989.5484646315.

The spelling of 968971956 in words is "nine hundred sixty-eight million, nine hundred seventy-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 137 201 228 268 274 402 411 463 548 804 822 926 1273 1389 1644 1852 2546 2603 2778 3819 5092 5206 5556 7638 7809 8797 9179 10412 15276 15618 17594 18358 26391 27537 31021 31236 35188 36716 52782 55074 62042 63431 93063 105564 110148 124084 126862 174401 186126 190293 253724 348802 372252 380586 523203 589399 697604 761172 1046406 1178798 1205189 1768197 2092812 2357596 2410378 3536394 3615567 4249877 4820756 7072788 7231134 8499754 12749631 14462268 16999508 25499262 50998524 80747663 161495326 242242989 322990652 484485978 968971956