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11796736 = 28729227
BaseRepresentation
bin101101000000…
…000100000000
3211012100002011
4231000010000
511004443421
61100502304
7202161550
oct55000400
924170064
1011796736
116728076
123b4a994
1325a0623
1417d1160
1510804e1
hexb40100

11796736 has 72 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 4859904.

The previous prime is 11796731. The next prime is 11796737. The reversal of 11796736 is 63769711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11796731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51855 + ... + 52081.

It is an arithmetic number, because the mean of its divisors is an integer number (388360).

Almost surely, 211796736 is an apocalyptic number.

11796736 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 11796736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

11796736 is an abundant number, since it is smaller than the sum of its proper divisors (16165184).

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

11796736 is an equidigital number, since it uses as much as digits as its factorization.

11796736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The square root of 11796736 is about 3434.6376810371. The cubic root of 11796736 is about 227.6428181853.

The spelling of 11796736 in words is "eleven million, seven hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 227 232 256 406 448 454 464 812 896 908 928 1589 1624 1792 1816 1856 3178 3248 3632 3712 6356 6496 6583 7264 7424 12712 12992 13166 14528 25424 25984 26332 29056 46081 50848 51968 52664 58112 92162 101696 105328 184324 203392 210656 368648 406784 421312 737296 842624 1474592 1685248 2949184 5898368 11796736