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12681460 = 2251159977
BaseRepresentation
bin110000011000…
…000011110100
3212212021200201
4300120003310
511221301320
61131450244
7212535121
oct60300364
925767621
1012681460
117181850
1242b6984
13282022c
141981748
1511a770a
hexc180f4

12681460 has 48 divisors (see below), whose sum is σ = 29574720. Its totient is φ = 4528640.

The previous prime is 12681457. The next prime is 12681499. The reversal of 12681460 is 6418621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12492 + ... + 13468.

It is an arithmetic number, because the mean of its divisors is an integer number (616140).

Almost surely, 212681460 is an apocalyptic number.

12681460 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 12681460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787360).

12681460 is an abundant number, since it is smaller than the sum of its proper divisors (16893260).

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

12681460 is a wasteful number, since it uses less digits than its factorization.

12681460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12681460 is about 3561.1037614762. The cubic root of 12681460 is about 233.1970678294.

It can be divided in two parts, 12 and 681460, that added together give a cube (681472 = 883).

The spelling of 12681460 in words is "twelve million, six hundred eighty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 977 1180 1298 1954 2596 3245 3908 4885 6490 9770 10747 12980 19540 21494 42988 53735 57643 107470 115286 214940 230572 288215 576430 634073 1152860 1268146 2536292 3170365 6340730 12681460