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12672768 = 28329569
BaseRepresentation
bin110000010101…
…111100000000
3212211211202210
4300111330000
511221012033
61131342120
7212500563
oct60257400
925754683
1012672768
117176269
1242b1940
1328192a4
14197c4da
1511a4d63
hexc15f00

12672768 has 72 divisors (see below), whose sum is σ = 34952400. Its totient is φ = 4071424.

The previous prime is 12672767. The next prime is 12672817. The reversal of 12672768 is 86727621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21988 + ... + 22556.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 212672768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476200).

12672768 is an abundant number, since it is smaller than the sum of its proper divisors (22279632).

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

12672768 is an equidigital number, since it uses as much as digits as its factorization.

12672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 12672768 is about 3559.8831441495. The cubic root of 12672768 is about 233.1437771151.

The spelling of 12672768 in words is "twelve million, six hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 569 696 768 928 1138 1392 1707 1856 2276 2784 3414 3712 4552 5568 6828 7424 9104 11136 13656 16501 18208 22272 27312 33002 36416 49503 54624 66004 72832 99006 109248 132008 145664 198012 218496 264016 396024 436992 528032 792048 1056064 1584096 2112128 3168192 4224256 6336384 12672768