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12745440 = 2532553167
BaseRepresentation
bin110000100111…
…101011100000
3212222112110100
4300213223200
511230323230
61133102400
7213222501
oct60475340
925875410
1012745440
117215924
124327a00
1328433a6
14199aba8
1511bb660
hexc27ae0

12745440 has 144 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 3314688.

The previous prime is 12745399. The next prime is 12745483. The reversal of 12745440 is 4454721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 76237 + ... + 76403.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 212745440 is an apocalyptic number.

12745440 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 12745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

12745440 is an abundant number, since it is smaller than the sum of its proper divisors (31834368).

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

12745440 is a wasteful number, since it uses less digits than its factorization.

12745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 12745440 is about 3570.0756294510. The cubic root of 12745440 is about 233.5885823531.

The spelling of 12745440 in words is "twelve million, seven hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 167 180 212 240 265 288 318 334 360 424 477 480 501 530 636 668 720 795 835 848 954 1002 1060 1272 1336 1440 1503 1590 1670 1696 1908 2004 2120 2385 2505 2544 2672 3006 3180 3340 3816 4008 4240 4770 5010 5088 5344 6012 6360 6680 7515 7632 8016 8480 8851 9540 10020 12024 12720 13360 15030 15264 16032 17702 19080 20040 24048 25440 26553 26720 30060 35404 38160 40080 44255 48096 53106 60120 70808 76320 79659 80160 88510 106212 120240 132765 141616 159318 177020 212424 240480 265530 283232 318636 354040 398295 424848 531060 637272 708080 796590 849696 1062120 1274544 1416160 1593180 2124240 2549088 3186360 4248480 6372720 12745440