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12918240 = 253258971
BaseRepresentation
bin110001010001…
…110111100000
3220022022111100
4301101313200
511301340430
61140514400
7214542336
oct61216740
926268440
1012918240
117323735
1243aba00
1328a3c3a
141a03b56
151202960
hexc51de0

12918240 has 72 divisors (see below), whose sum is σ = 44088408. Its totient is φ = 3444480.

The previous prime is 12918229. The next prime is 12918259. The reversal of 12918240 is 4281921.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 5925.

It is an arithmetic number, because the mean of its divisors is an integer number (612339).

Almost surely, 212918240 is an apocalyptic number.

12918240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12918240 is an abundant number, since it is smaller than the sum of its proper divisors (31170168).

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

12918240 is a wasteful number, since it uses less digits than its factorization.

12918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12918240 is about 3594.1953202351. The cubic root of 12918240 is about 234.6394955341.

The spelling of 12918240 in words is "twelve million, nine hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8971 17942 26913 35884 44855 53826 71768 80739 89710 107652 134565 143536 161478 179420 215304 269130 287072 322956 358840 403695 430608 538260 645912 717680 807390 861216 1076520 1291824 1435360 1614780 2153040 2583648 3229560 4306080 6459120 12918240