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12139776 = 283211479
BaseRepresentation
bin101110010011…
…110100000000
3211211202122100
4232103310000
511101433101
61112110400
7205120635
oct56236400
924752570
1012139776
116941880
124095400
1326907cc
14188018c
1510ebe86
hexb93d00

12139776 has 108 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 3671040.

The previous prime is 12139759. The next prime is 12139789. The reversal of 12139776 is 67793121.

It is a happy number.

It is a super-2 number, since 2×121397762 = 294748322660352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12139776.

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, 25105 + ... + 25583.

Almost surely, 212139776 is an apocalyptic number.

12139776 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 12139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

12139776 is an abundant number, since it is smaller than the sum of its proper divisors (26123904).

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

12139776 is a wasteful number, since it uses less digits than its factorization.

12139776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 12139776 is about 3484.2181332402. The cubic root of 12139776 is about 229.8283281027.

The spelling of 12139776 in words is "twelve million, one hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 479 528 576 704 768 792 958 1056 1152 1408 1437 1584 1916 2112 2304 2816 2874 3168 3832 4224 4311 5269 5748 6336 7664 8448 8622 10538 11496 12672 15328 15807 17244 21076 22992 25344 30656 31614 34488 42152 45984 47421 61312 63228 68976 84304 91968 94842 122624 126456 137952 168608 183936 189684 252912 275904 337216 367872 379368 505824 551808 674432 758736 1011648 1103616 1348864 1517472 2023296 3034944 4046592 6069888 12139776