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12905172 = 2232783617
BaseRepresentation
bin110001001110…
…101011010100
3220021122120100
4301032223110
511300431142
61140334100
7214456260
oct61165324
926248510
1012905172
117314935
1243a4330
13289acc7
1419dd0a0
1511edb4c
hexc4ead4

12905172 has 72 divisors (see below), whose sum is σ = 37791936. Its totient is φ = 3636864.

The previous prime is 12905141. The next prime is 12905183. The reversal of 12905172 is 27150921.

12905172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20608 + ... + 21224.

It is an arithmetic number, because the mean of its divisors is an integer number (524888).

Almost surely, 212905172 is an apocalyptic number.

12905172 is a gapful number since it is divisible by the number (12) 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 12905172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895968).

12905172 is an abundant number, since it is smaller than the sum of its proper divisors (24886764).

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

12905172 is a wasteful number, since it uses less digits than its factorization.

12905172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12905172 is about 3592.3769289984. The cubic root of 12905172 is about 234.5603489566.

The spelling of 12905172 in words is "twelve million, nine hundred five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 617 747 996 1162 1234 1494 1743 1851 2324 2468 2988 3486 3702 4319 5229 5553 6972 7404 8638 10458 11106 12957 17276 20916 22212 25914 38871 51211 51828 77742 102422 153633 155484 204844 307266 358477 460899 614532 716954 921798 1075431 1433908 1843596 2150862 3226293 4301724 6452586 12905172