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12691520 = 265172333
BaseRepresentation
bin110000011010…
…100001000000
3212212210111022
4300122201000
511222112040
61132005012
7212606342
oct60324100
925783438
1012691520
117189366
124300768
13282499a
141985292
1511aa6b5
hexc1a840

12691520 has 56 divisors (see below), whose sum is σ = 32013144. Its totient is φ = 4775936.

The previous prime is 12691519. The next prime is 12691529. The reversal of 12691520 is 2519621.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 10863616 = 1352^2 + 3296^2 .

It is a super-2 number, since 2×126915202 = 322149359820800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12691520.

It is not an unprimeable number, because it can be changed into a prime (12691529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4274 + ... + 6606.

Almost surely, 212691520 is an apocalyptic number.

12691520 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 12691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006572).

12691520 is an abundant number, since it is smaller than the sum of its proper divisors (19321624).

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

12691520 is a wasteful number, since it uses less digits than its factorization.

12691520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 12691520 is about 3562.5159648765. The cubic root of 12691520 is about 233.2587153694.

The spelling of 12691520 in words is "twelve million, six hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2333 2720 4666 5440 9332 11665 18664 23330 37328 39661 46660 74656 79322 93320 149312 158644 186640 198305 317288 373280 396610 634576 746560 793220 1269152 1586440 2538304 3172880 6345760 12691520