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10968168 = 2331967359
BaseRepresentation
bin101001110101…
…110001101000
3202122020111110
4221311301220
510301440133
61031030320
7162141111
oct51656150
922566443
1010968168
116211602
12380b3a0
132370453
141657208
15e69c63
hexa75c68

10968168 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3402432.

The previous prime is 10968143. The next prime is 10968211. The reversal of 10968168 is 86186901.

10968168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 30373 + ... + 30731.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 210968168 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 10968168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10968168 is an abundant number, since it is smaller than the sum of its proper divisors (18407832).

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

10968168 is a wasteful number, since it uses less digits than its factorization.

10968168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 10968168 is about 3311.8224590095. The cubic root of 10968168 is about 222.1832753227.

The spelling of 10968168 in words is "ten million, nine hundred sixty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 359 402 456 536 718 804 1077 1273 1436 1608 2154 2546 2872 3819 4308 5092 6821 7638 8616 10184 13642 15276 20463 24053 27284 30552 40926 48106 54568 72159 81852 96212 144318 163704 192424 288636 457007 577272 914014 1371021 1828028 2742042 3656056 5484084 10968168