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12132648 = 23321115319
BaseRepresentation
bin101110010010…
…000100101000
3211211101212100
4232102010220
511101221043
61112013400
7205061103
oct56220450
924741770
1012132648
116937490
124091260
13268a4a8
14187b73a
1510e9cd3
hexb92128

12132648 has 48 divisors (see below), whose sum is σ = 35848800. Its totient is φ = 3676320.

The previous prime is 12132641. The next prime is 12132667. The reversal of 12132648 is 84623121.

12132648 is a `hidden beast` number, since 1 + 2 + 13 + 2 + 648 = 666.

It is a super-2 number, since 2×121326482 = 294402294983808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12132641) 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, 6868 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (746850).

Almost surely, 212132648 is an apocalyptic number.

12132648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12132648 is an abundant number, since it is smaller than the sum of its proper divisors (23716152).

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

12132648 is a wasteful number, since it uses less digits than its factorization.

12132648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342 (or 15335 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12132648 is about 3483.1950849759. The cubic root of 12132648 is about 229.7833372380.

Adding to 12132648 its reverse (84623121), we get a palindrome (96755769).

The spelling of 12132648 in words is "twelve million, one hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 15319 30638 45957 61276 91914 122552 137871 168509 183828 275742 337018 367656 505527 551484 674036 1011054 1102968 1348072 1516581 2022108 3033162 4044216 6066324 12132648