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12760096 = 251931677
BaseRepresentation
bin110000101011…
…010000100000
3220000021120011
4300223100200
511231310341
61133254304
7213313306
oct60532040
926007504
1012760096
117225938
124334394
132849c6b
1419a2276
1511c0b81
hexc2b420

12760096 has 48 divisors (see below), whose sum is σ = 27336960. Its totient is φ = 5840640.

The previous prime is 12760091. The next prime is 12760117. The reversal of 12760096 is 69006721.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (12760091) 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, 18510 + ... + 19186.

It is an arithmetic number, because the mean of its divisors is an integer number (569520).

Almost surely, 212760096 is an apocalyptic number.

12760096 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 12760096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668480).

12760096 is an abundant number, since it is smaller than the sum of its proper divisors (14576864).

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

12760096 is a wasteful number, since it uses less digits than its factorization.

12760096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 12760096 is about 3572.1276572933. The cubic root of 12760096 is about 233.6780826732.

The spelling of 12760096 in words is "twelve million, seven hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 677 992 1178 1354 2356 2708 4712 5416 9424 10832 12863 18848 20987 21664 25726 41974 51452 83948 102904 167896 205808 335792 398753 411616 671584 797506 1595012 3190024 6380048 12760096