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12491136 = 273271549
BaseRepresentation
bin101111101001…
…100110000000
3212111121121200
4233221212000
511144204021
61123421200
7211113210
oct57514600
925447550
1012491136
117061859
124224800
132784708
141932240
15116b126
hexbe9980

12491136 has 96 divisors (see below), whose sum is σ = 41106000. Its totient is φ = 3566592.

The previous prime is 12491131. The next prime is 12491137. The reversal of 12491136 is 63119421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12491131) 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 11 ways as a sum of consecutive naturals, for example, 7290 + ... + 8838.

Almost surely, 212491136 is an apocalyptic number.

12491136 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 12491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553000).

12491136 is an abundant number, since it is smaller than the sum of its proper divisors (28614864).

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

12491136 is a wasteful number, since it uses less digits than its factorization.

12491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1561 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 12491136 is about 3534.2801247213. The cubic root of 12491136 is about 232.0245713175.

The spelling of 12491136 in words is "twelve million, four hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 1549 2016 2688 3098 4032 4647 6196 8064 9294 10843 12392 13941 18588 21686 24784 27882 32529 37176 43372 49568 55764 65058 74352 86744 97587 99136 111528 130116 148704 173488 195174 198272 223056 260232 297408 346976 390348 446112 520464 594816 693952 780696 892224 1040928 1387904 1561392 1784448 2081856 3122784 4163712 6245568 12491136