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11791696 = 247127829
BaseRepresentation
bin101100111110…
…110101010000
3211012002011111
4230332311100
511004313241
61100423104
7202141060
oct54766520
924162144
1011791696
116724304
123b47a94
13259b247
1417cd3a0
15107dc81
hexb3ed50

11791696 has 40 divisors (see below), whose sum is σ = 26347520. Its totient is φ = 5007744.

The previous prime is 11791691. The next prime is 11791697. The reversal of 11791696 is 69619711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11791691) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13810 + ... + 14638.

It is an arithmetic number, because the mean of its divisors is an integer number (658688).

Almost surely, 211791696 is an apocalyptic number.

11791696 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 11791696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173760).

11791696 is an abundant number, since it is smaller than the sum of its proper divisors (14555824).

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

11791696 is a wasteful number, since it uses less digits than its factorization.

11791696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its digits is 20412, while the sum is 40.

The square root of 11791696 is about 3433.9039008103. The cubic root of 11791696 is about 227.6103944359.

The spelling of 11791696 in words is "eleven million, seven hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 829 889 1016 1658 1778 2032 3316 3556 5803 6632 7112 11606 13264 14224 23212 46424 92848 105283 210566 421132 736981 842264 1473962 1684528 2947924 5895848 11791696