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12252672 = 29322659
BaseRepresentation
bin101110101111…
…011000000000
3212001111111200
4232233120000
511114041142
61114341200
7206101035
oct56573000
925044450
1012252672
116a09683
12412a800
132700003
1418ad38c
15112064c
hexbaf600

12252672 has 60 divisors (see below), whose sum is σ = 35375340. Its totient is φ = 4082688.

The previous prime is 12252671. The next prime is 12252673. The reversal of 12252672 is 27625221.

It is an interprime number because it is at equal distance from previous prime (12252671) and next prime (12252673).

It is a super-2 number, since 2×122526722 = 300255942279168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3279 + ... + 5937.

It is an arithmetic number, because the mean of its divisors is an integer number (589589).

Almost surely, 212252672 is an apocalyptic number.

12252672 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 12252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687670).

12252672 is an abundant number, since it is smaller than the sum of its proper divisors (23122668).

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

12252672 is an equidigital number, since it uses as much as digits as its factorization.

12252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2664 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 12252672 is about 3500.3816934729. The cubic root of 12252672 is about 230.5385740454.

Adding to 12252672 its reverse (27625221), we get a palindrome (39877893).

The spelling of 12252672 in words is "twelve million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2659 4608 5318 7977 10636 15954 21272 23931 31908 42544 47862 63816 85088 95724 127632 170176 191448 255264 340352 382896 510528 680704 765792 1021056 1361408 1531584 2042112 3063168 4084224 6126336 12252672