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10968760 = 2351197257
BaseRepresentation
bin101001110101…
…111010111000
3202122021022101
4221311322320
510302000020
61031033144
7162142615
oct51657270
922567271
1010968760
116211aa0
12380b7b4
1323707ba
14165750c
15e6a00a
hexa75eb8

10968760 has 64 divisors (see below), whose sum is σ = 27306720. Its totient is φ = 3932160.

The previous prime is 10968751. The next prime is 10968767. The reversal of 10968760 is 6786901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10968767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42552 + ... + 42808.

Almost surely, 210968760 is an apocalyptic number.

10968760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653360).

10968760 is an abundant number, since it is smaller than the sum of its proper divisors (16337960).

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

10968760 is a wasteful number, since it uses less digits than its factorization.

10968760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 10968760 is about 3311.9118345753. The cubic root of 10968760 is about 222.1872726518.

The spelling of 10968760 in words is "ten million, nine hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 257 388 440 485 514 776 970 1028 1067 1285 1940 2056 2134 2570 2827 3880 4268 5140 5335 5654 8536 10280 10670 11308 14135 21340 22616 24929 28270 42680 49858 56540 99716 113080 124645 199432 249290 274219 498580 548438 997160 1096876 1371095 2193752 2742190 5484380 10968760