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12661056 = 263317431
BaseRepresentation
bin110000010011…
…000101000000
3212211020201000
4300103011000
511220123211
61131212000
7212421462
oct60230500
925736630
1012661056
117168491
1242a7000
132813b65
141978132
1511a1656
hexc13140

12661056 has 112 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 3962880.

The previous prime is 12661043. The next prime is 12661091. The reversal of 12661056 is 65016621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29161 + ... + 29591.

Almost surely, 212661056 is an apocalyptic number.

12661056 is a gapful number since it is divisible by the number (16) 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 12661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

12661056 is an abundant number, since it is smaller than the sum of its proper divisors (26841024).

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

12661056 is a wasteful number, since it uses less digits than its factorization.

12661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12661056 is about 3558.2377660859. The cubic root of 12661056 is about 233.0719322075.

Adding to 12661056 its reverse (65016621), we get a palindrome (77677677).

The spelling of 12661056 in words is "twelve million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 431 432 459 544 576 612 816 862 864 918 1088 1224 1293 1632 1724 1728 1836 2448 2586 3264 3448 3672 3879 4896 5172 6896 7327 7344 7758 9792 10344 11637 13792 14654 14688 15516 20688 21981 23274 27584 29308 29376 31032 41376 43962 46548 58616 62064 65943 82752 87924 93096 117232 124128 131886 175848 186192 197829 234464 248256 263772 351696 372384 395658 468928 527544 703392 744768 791316 1055088 1406784 1582632 2110176 3165264 4220352 6330528 12661056