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11934272 = 267171567
BaseRepresentation
bin101101100001…
…101001000000
3211110022202002
4231201221000
511023344042
61103443132
7203303540
oct55415100
924408662
1011934272
116811439
123bb64a8
13261b0cc
141829320
1510ab132
hexb61a40

11934272 has 56 divisors (see below), whose sum is σ = 28675584. Its totient is φ = 4810752.

The previous prime is 11934257. The next prime is 11934281. The reversal of 11934272 is 27243911.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6833 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 211934272 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 11934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792).

11934272 is an abundant number, since it is smaller than the sum of its proper divisors (16741312).

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

11934272 is a wasteful number, since it uses less digits than its factorization.

11934272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1593 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 11934272 is about 3454.6015689222. The cubic root of 11934272 is about 228.5240842418.

The spelling of 11934272 in words is "eleven million, nine hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1567 1904 3134 3808 6268 7616 10969 12536 21938 25072 26639 43876 50144 53278 87752 100288 106556 175504 186473 213112 351008 372946 426224 702016 745892 852448 1491784 1704896 2983568 5967136 11934272