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12670632 = 23321313537
BaseRepresentation
bin110000010101…
…011010101000
3212211201211200
4300111122220
511220430012
61131324200
7212461422
oct60253250
925751750
1012670632
1171746a7
1242b0660
132818320
14197b812
1511a43dc
hexc156a8

12670632 has 48 divisors (see below), whose sum is σ = 36958740. Its totient is φ = 3898368.

The previous prime is 12670621. The next prime is 12670639. The reversal of 12670632 is 23607621.

It is a happy number.

12670632 is a `hidden beast` number, since 1 + 26 + 7 + 0 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 181476 = 3534^2 + 426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12670596 and 12670605.

It is not an unprimeable number, because it can be changed into a prime (12670639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5833 + ... + 7704.

Almost surely, 212670632 is an apocalyptic number.

12670632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12670632 is an abundant number, since it is smaller than the sum of its proper divisors (24288108).

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

12670632 is a wasteful number, since it uses less digits than its factorization.

12670632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 13555 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 12670632 is about 3559.5831216591. The cubic root of 12670632 is about 233.1306775541.

The spelling of 12670632 in words is "twelve million, six hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 13537 27074 40611 54148 81222 108296 121833 162444 175981 243666 324888 351962 487332 527943 703924 974664 1055886 1407848 1583829 2111772 3167658 4223544 6335316 12670632