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11915680 = 255710639
BaseRepresentation
bin101101011101…
…000110100000
3211102101020111
4231131012200
511022300210
61103221104
7203165410
oct55350640
924371214
1011915680
1167a9477
123ba7794
1326127ca
141822640
1510a588a
hexb5d1a0

11915680 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4084992.

The previous prime is 11915671. The next prime is 11915681. The reversal of 11915680 is 8651911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11915681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4200 + ... + 6439.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 211915680 is an apocalyptic number.

11915680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11915680 is an abundant number, since it is smaller than the sum of its proper divisors (20259680).

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

11915680 is a wasteful number, since it uses less digits than its factorization.

11915680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10661 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 11915680 is about 3451.9096164297. The cubic root of 11915680 is about 228.4053525756.

The spelling of 11915680 in words is "eleven million, nine hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10639 21278 42556 53195 74473 85112 106390 148946 170224 212780 297892 340448 372365 425560 595784 744730 851120 1191568 1489460 1702240 2383136 2978920 5957840 11915680