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961708968 = 2332112591871
BaseRepresentation
bin111001010100101…
…000001110101000
32111000121212200200
4321110220032220
53432144141333
6235232432200
732555251143
oct7124501650
92430555620
10961708968
11453950200
1222a0a8660
1312432147c
1491a2105a
155966ac13
hex395283a8

961708968 has 144 divisors (see below), whose sum is σ = 2913019200. Its totient is φ = 286334400.

The previous prime is 961708963. The next prime is 961709003. The reversal of 961708968 is 869807169.

It is not an unprimeable number, because it can be changed into a prime (961708961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 513073 + ... + 514943.

It is an arithmetic number, because the mean of its divisors is an integer number (20229300).

Almost surely, 2961708968 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 961708968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456509600).

961708968 is an abundant number, since it is smaller than the sum of its proper divisors (1951310232).

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

961708968 is a wasteful number, since it uses less digits than its factorization.

961708968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 961708968 is about 31011.4328595117. The cubic root of 961708968 is about 987.0698545978.

The spelling of 961708968 in words is "nine hundred sixty-one million, seven hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 121 132 177 198 236 242 264 354 363 396 472 484 531 649 708 726 792 968 1062 1089 1298 1416 1452 1871 1947 2124 2178 2596 2904 3742 3894 4248 4356 5192 5613 5841 7139 7484 7788 8712 11226 11682 14278 14968 15576 16839 20581 21417 22452 23364 28556 33678 41162 42834 44904 46728 57112 61743 64251 67356 82324 85668 110389 123486 128502 134712 164648 171336 185229 220778 226391 246972 257004 331167 370458 441556 452782 493944 514008 662334 679173 740916 883112 905564 993501 1214279 1324668 1358346 1481832 1811128 1987002 2037519 2428558 2649336 2716692 3642837 3974004 4075038 4857116 5433384 7285674 7948008 8150076 9714232 10928511 13357069 14571348 16300152 21857022 26714138 29142696 40071207 43714044 53428276 80142414 87428088 106856552 120213621 160284828 240427242 320569656 480854484 961708968