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12013632 = 263220857
BaseRepresentation
bin101101110101…
…000001000000
3211121100121100
4231311001000
511033414012
61105254400
7204054111
oct55650100
924540540
1012013632
116866024
124034400
132648277
14184a208
1510c48dc
hexb75040

12013632 has 42 divisors (see below), whose sum is σ = 34436558. Its totient is φ = 4004352.

The previous prime is 12013621. The next prime is 12013637. The reversal of 12013632 is 23631021.

12013632 is a `hidden beast` number, since 1 + 20 + 13 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 69696 = 3456^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12013637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9853 + ... + 11004.

Almost surely, 212013632 is an apocalyptic number.

12013632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12013632 is an abundant number, since it is smaller than the sum of its proper divisors (22422926).

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

12013632 is a wasteful number, since it uses less digits than its factorization.

12013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20875 (or 20862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12013632 is about 3466.0686663712. The cubic root of 12013632 is about 229.0295087289.

Adding to 12013632 its reverse (23631021), we get a palindrome (35644653).

The spelling of 12013632 in words is "twelve million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20857 41714 62571 83428 125142 166856 187713 250284 333712 375426 500568 667424 750852 1001136 1334848 1501704 2002272 3003408 4004544 6006816 12013632