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11696672 = 251331907
BaseRepresentation
bin101100100111…
…101000100000
3211000020211002
4230213220200
510443243142
61054411132
7201264041
oct54475040
924006732
1011696672
116669979
123b00aa8
132566c10
1417a68c8
151060a32
hexb27a20

11696672 has 48 divisors (see below), whose sum is σ = 25627392. Its totient is φ = 5218560.

The previous prime is 11696669. The next prime is 11696677. The reversal of 11696672 is 27669611.

It is not an unprimeable number, because it can be changed into a prime (11696677) 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, 12443 + ... + 13349.

It is an arithmetic number, because the mean of its divisors is an integer number (533904).

Almost surely, 211696672 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 11696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813696).

11696672 is an abundant number, since it is smaller than the sum of its proper divisors (13930720).

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

11696672 is a wasteful number, since it uses less digits than its factorization.

11696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 11696672 is about 3420.0397658507. The cubic root of 11696672 is about 226.9973412718.

The spelling of 11696672 in words is "eleven million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 907 992 1612 1814 3224 3628 6448 7256 11791 12896 14512 23582 28117 29024 47164 56234 94328 112468 188656 224936 365521 377312 449872 731042 899744 1462084 2924168 5848336 11696672