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12775392 = 253276337
BaseRepresentation
bin110000101110…
…111111100000
3220001001112200
4300232333200
511232303032
61133453200
7213406020
oct60567740
926031480
1012775392
117236383
124341200
132853c06
1419a7a80
1511c547c
hexc2efe0

12775392 has 72 divisors (see below), whose sum is σ = 41526576. Its totient is φ = 3649536.

The previous prime is 12775369. The next prime is 12775421. The reversal of 12775392 is 29357721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (576758).

Almost surely, 212775392 is an apocalyptic number.

12775392 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 12775392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763288).

12775392 is an abundant number, since it is smaller than the sum of its proper divisors (28751184).

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

12775392 is a wasteful number, since it uses less digits than its factorization.

12775392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6349 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12775392 is about 3574.2680369553. The cubic root of 12775392 is about 233.7714182477.

The spelling of 12775392 in words is "twelve million, seven hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6337 12674 19011 25348 38022 44359 50696 57033 76044 88718 101392 114066 133077 152088 177436 202784 228132 266154 304176 354872 399231 456264 532308 608352 709744 798462 912528 1064616 1419488 1596924 1825056 2129232 3193848 4258464 6387696 12775392