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12757296 = 243614357
BaseRepresentation
bin110000101010…
…100100110000
3220000010201110
4300222210300
511231213141
61133233320
7213302166
oct60524460
926003643
1012757296
117223822
124332840
1328488c6
1419a1236
1511bee16
hexc2a930

12757296 has 40 divisors (see below), whose sum is σ = 33504304. Its totient is φ = 4181760.

The previous prime is 12757291. The next prime is 12757301. The reversal of 12757296 is 69275721.

12757296 = T616 + T617 + ... + T676.

It is an interprime number because it is at equal distance from previous prime (12757291) and next prime (12757301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12757291) 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, 750 + ... + 5106.

Almost surely, 212757296 is an apocalyptic number.

12757296 is a gapful number since it is divisible by the number (16) 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 12757296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752152).

12757296 is an abundant number, since it is smaller than the sum of its proper divisors (20747008).

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

12757296 is a wasteful number, since it uses less digits than its factorization.

12757296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4423 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 12757296 is about 3571.7357125073. The cubic root of 12757296 is about 233.6609891107.

The spelling of 12757296 in words is "twelve million, seven hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 4357 8714 13071 17428 26142 34856 52284 69712 104568 209136 265777 531554 797331 1063108 1594662 2126216 3189324 4252432 6378648 12757296