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12914640 = 243451993
BaseRepresentation
bin110001010000…
…111111010000
3220022010120000
4301100333100
511301232030
61140450000
7214526004
oct61207720
926263500
1012914640
117320a62
1243a9900
1328a23cb
141a02704
151201860
hexc50fd0

12914640 has 100 divisors (see below), whose sum is σ = 44876964. Its totient is φ = 3442176.

The previous prime is 12914639. The next prime is 12914651. The reversal of 12914640 is 4641921.

12914640 is a `hidden beast` number, since 1 + 2 + 9 + 14 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 5817744 = 2664^2 + 2412^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 5484 + ... + 7476.

Almost surely, 212914640 is an apocalyptic number.

12914640 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 12914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438482).

12914640 is an abundant number, since it is smaller than the sum of its proper divisors (31962324).

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

12914640 is a wasteful number, since it uses less digits than its factorization.

12914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12914640 is about 3593.6944778320. The cubic root of 12914640 is about 234.6176973979.

The spelling of 12914640 in words is "twelve million, nine hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 1993 2160 3240 3986 5979 6480 7972 9965 11958 15944 17937 19930 23916 29895 31888 35874 39860 47832 53811 59790 71748 79720 89685 95664 107622 119580 143496 159440 161433 179370 215244 239160 269055 286992 322866 358740 430488 478320 538110 645732 717480 807165 860976 1076220 1291464 1434960 1614330 2152440 2582928 3228660 4304880 6457320 12914640