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10916960 = 25531271
BaseRepresentation
bin101001101001…
…010001100000
3202112122020212
4221221101200
510243320320
61025553252
7161535605
oct51512140
922478225
1010916960
11618708a
1237a5828
132353052
1416426ac
15e599c5
hexa69460

10916960 has 72 divisors (see below), whose sum is σ = 27025488. Its totient is φ = 4166400.

The previous prime is 10916933. The next prime is 10916977. The reversal of 10916960 is 6961901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153725 + ... + 153795.

It is an arithmetic number, because the mean of its divisors is an integer number (375354).

Almost surely, 210916960 is an apocalyptic number.

10916960 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 10916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512744).

10916960 is an abundant number, since it is smaller than the sum of its proper divisors (16108528).

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

10916960 is an equidigital number, since it uses as much as digits as its factorization.

10916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 10916960 is about 3304.0823234296. The cubic root of 10916960 is about 221.8369606149.

The spelling of 10916960 in words is "ten million, nine hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 71 80 124 142 155 160 248 284 310 355 496 568 620 710 961 992 1136 1240 1420 1922 2201 2272 2480 2840 3844 4402 4805 4960 5680 7688 8804 9610 11005 11360 15376 17608 19220 22010 30752 35216 38440 44020 68231 70432 76880 88040 136462 153760 176080 272924 341155 352160 545848 682310 1091696 1364620 2183392 2729240 5458480 10916960