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12936420 = 22325710267
BaseRepresentation
bin110001010110…
…010011100100
3220100020102200
4301112103210
511302431140
61141134500
7214646340
oct61262344
926306380
1012936420
117336362
1243ba430
1328ac2b3
141a0a620
151208030
hexc564e4

12936420 has 72 divisors (see below), whose sum is σ = 44850624. Its totient is φ = 2956608.

The previous prime is 12936409. The next prime is 12936433. The reversal of 12936420 is 2463921.

12936420 is a `hidden beast` number, since 12 + 9 + 3 + 642 + 0 = 666.

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, 3874 + ... + 6393.

Almost surely, 212936420 is an apocalyptic number.

12936420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12936420 is an abundant number, since it is smaller than the sum of its proper divisors (31914204).

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

12936420 is a wasteful number, since it uses less digits than its factorization.

12936420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12936420 is about 3596.7235089731. The cubic root of 12936420 is about 234.7495143011.

The spelling of 12936420 in words is "twelve million, nine hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 10267 20534 30801 41068 51335 61602 71869 92403 102670 123204 143738 154005 184806 205340 215607 287476 308010 359345 369612 431214 462015 616020 646821 718690 862428 924030 1078035 1293642 1437380 1848060 2156070 2587284 3234105 4312140 6468210 12936420