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956398660 = 225729710061
BaseRepresentation
bin111001000000010…
…111110001000100
32110122122002022121
4321000113301010
53424314224120
6234522535324
732462153200
oct7100276104
92418562277
10956398660
11450953518
12228367544
131231b2389
149103bb00
1558e6c5aa
hex39017c44

956398660 has 72 divisors (see below), whose sum is σ = 2360665944. Its totient is φ = 324495360.

The previous prime is 956398657. The next prime is 956398679. The reversal of 956398660 is 66893659.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101888836 + 854509824 = 10094^2 + 29232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 956398598 and 956398607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90030 + ... + 100090.

It is an arithmetic number, because the mean of its divisors is an integer number (32787027).

Almost surely, 2956398660 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 956398660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180332972).

956398660 is an abundant number, since it is smaller than the sum of its proper divisors (1404267284).

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

956398660 is a wasteful number, since it uses less digits than its factorization.

956398660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The square root of 956398660 is about 30925.6957884540. The cubic root of 956398660 is about 985.2497189525.

The spelling of 956398660 in words is "nine hundred fifty-six million, three hundred ninety-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2716 3395 4753 6790 9506 10061 13580 19012 20122 23765 40244 47530 50305 70427 95060 100610 140854 201220 281708 352135 492989 704270 975917 985978 1408540 1951834 1971956 2464945 3903668 4879585 4929890 6831419 9759170 9859780 13662838 19518340 27325676 34157095 47819933 68314190 95639866 136628380 191279732 239099665 478199330 956398660