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12936240 = 2433553113
BaseRepresentation
bin110001010110…
…010000110000
3220100020012000
4301112100300
511302424430
61141134000
7214645662
oct61262060
926306160
1012936240
117336209
1243ba300
1328ac1a5
141a0a532
151207e60
hexc56430

12936240 has 160 divisors (see below), whose sum is σ = 45800640. Its totient is φ = 3354624.

The previous prime is 12936227. The next prime is 12936247. The reversal of 12936240 is 4263921.

12936240 = T219 + T220 + ... + T444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12936247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114424 + ... + 114536.

It is an arithmetic number, because the mean of its divisors is an integer number (286254).

Almost surely, 212936240 is an apocalyptic number.

12936240 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 12936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

12936240 is an abundant number, since it is smaller than the sum of its proper divisors (32864400).

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

12936240 is a wasteful number, since it uses less digits than its factorization.

12936240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

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

The square root of 12936240 is about 3596.6984861120. The cubic root of 12936240 is about 234.7484255118.

The spelling of 12936240 in words is "twelve million, nine hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 113 120 135 144 159 180 212 216 226 240 265 270 318 339 360 424 432 452 477 530 540 565 636 678 720 795 848 904 954 1017 1060 1080 1130 1272 1356 1431 1590 1695 1808 1908 2034 2120 2160 2260 2385 2544 2712 2862 3051 3180 3390 3816 4068 4240 4520 4770 5085 5424 5724 5989 6102 6360 6780 7155 7632 8136 9040 9540 10170 11448 11978 12204 12720 13560 14310 15255 16272 17967 19080 20340 22896 23956 24408 27120 28620 29945 30510 35934 38160 40680 47912 48816 53901 57240 59890 61020 71868 81360 89835 95824 107802 114480 119780 122040 143736 161703 179670 215604 239560 244080 269505 287472 323406 359340 431208 479120 539010 646812 718680 808515 862416 1078020 1293624 1437360 1617030 2156040 2587248 3234060 4312080 6468120 12936240