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12916904 = 23711131613
BaseRepresentation
bin110001010001…
…100010101000
3220022020122212
4301101202220
511301320104
61140504252
7214535420
oct61214250
926266585
1012916904
117322730
1243ab088
1328a3450
141a03480
15120236e
hexc518a8

12916904 has 64 divisors (see below), whose sum is σ = 32538240. Its totient is φ = 4642560.

The previous prime is 12916901. The next prime is 12916907. The reversal of 12916904 is 40961921.

It is an interprime number because it is at equal distance from previous prime (12916901) and next prime (12916907).

It is not an unprimeable number, because it can be changed into a prime (12916901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7202 + ... + 8814.

It is an arithmetic number, because the mean of its divisors is an integer number (508410).

Almost surely, 212916904 is an apocalyptic number.

12916904 is a gapful number since it is divisible by the number (14) 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 12916904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269120).

12916904 is an abundant number, since it is smaller than the sum of its proper divisors (19621336).

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

12916904 is a wasteful number, since it uses less digits than its factorization.

12916904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 12916904 is about 3594.0094601990. The cubic root of 12916904 is about 234.6314064762.

The spelling of 12916904 in words is "twelve million, nine hundred sixteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1613 2002 3226 4004 6452 8008 11291 12904 17743 20969 22582 35486 41938 45164 70972 83876 90328 124201 141944 146783 167752 230659 248402 293566 461318 496804 587132 922636 993608 1174264 1614613 1845272 3229226 6458452 12916904