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11923936 = 251723953
BaseRepresentation
bin101101011111…
…000111100000
3211102210120021
4231133013200
511023031221
61103323224
7203231443
oct55370740
924383507
1011923936
1168046a2
123bb0514
1326164ab
14182565a
1510a8041
hexb5f1e0

11923936 has 48 divisors (see below), whose sum is σ = 25964064. Its totient is φ = 5361664.

The previous prime is 11923931. The next prime is 11923969. The reversal of 11923936 is 63932911.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11923931) 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, 12036 + ... + 12988.

It is an arithmetic number, because the mean of its divisors is an integer number (540918).

Almost surely, 211923936 is an apocalyptic number.

11923936 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 11923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982032).

11923936 is an abundant number, since it is smaller than the sum of its proper divisors (14040128).

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

11923936 is a wasteful number, since it uses less digits than its factorization.

11923936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 11923936 is about 3453.1052691744. The cubic root of 11923936 is about 228.4580920259.

The spelling of 11923936 in words is "eleven million, nine hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 953 1564 1906 3128 3812 6256 7624 12512 15248 16201 21919 30496 32402 43838 64804 87676 129608 175352 259216 350704 372623 518432 701408 745246 1490492 2980984 5961968 11923936