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12941712 = 2432737347
BaseRepresentation
bin110001010111…
…100110010000
3220100111200200
4301113212100
511303113322
61141215200
7215000640
oct61274620
926314620
1012941712
11733a333
124401500
1328b1824
141a0c520
1512098ac
hexc57990

12941712 has 120 divisors (see below), whose sum is σ = 42634176. Its totient is φ = 3587328.

The previous prime is 12941689. The next prime is 12941729. The reversal of 12941712 is 21714921.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37123 + ... + 37469.

Almost surely, 212941712 is an apocalyptic number.

12941712 is a gapful number since it is divisible by the number (12) 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 12941712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317088).

12941712 is an abundant number, since it is smaller than the sum of its proper divisors (29692464).

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

12941712 is a wasteful number, since it uses less digits than its factorization.

12941712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12941712 is about 3597.4591033117. The cubic root of 12941712 is about 234.7815201953.

The spelling of 12941712 in words is "twelve million, nine hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 347 444 504 518 592 666 694 777 888 1008 1036 1041 1332 1388 1554 1776 2072 2082 2331 2429 2664 2776 3108 3123 4144 4164 4662 4858 5328 5552 6216 6246 7287 8328 9324 9716 12432 12492 12839 14574 16656 18648 19432 21861 24984 25678 29148 37296 38517 38864 43722 49968 51356 58296 77034 87444 89873 102712 115551 116592 154068 174888 179746 205424 231102 269619 308136 349776 359492 462204 539238 616272 718984 808857 924408 1078476 1437968 1617714 1848816 2156952 3235428 4313904 6470856 12941712