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133792056 = 233210318041
BaseRepresentation
bin1111111100110…
…00000100111000
3100022202100012100
413332120010320
5233222321211
621135343400
73213133206
oct776300470
9308670170
10133792056
1169581a52
1238981b60
13219457c8
1413aaa076
15bb2c156
hex7f98138

133792056 has 48 divisors (see below), whose sum is σ = 365891760. Its totient is φ = 44161920.

The previous prime is 133792031. The next prime is 133792073. The reversal of 133792056 is 650297331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133792056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1605 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (7622745).

Almost surely, 2133792056 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 133792056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182945880).

133792056 is an abundant number, since it is smaller than the sum of its proper divisors (232099704).

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

133792056 is a wasteful number, since it uses less digits than its factorization.

133792056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18156 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 133792056 is about 11566.8516027483. The cubic root of 133792056 is about 511.4581568383.

The spelling of 133792056 in words is "one hundred thirty-three million, seven hundred ninety-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 18041 36082 54123 72164 108246 144328 162369 216492 324738 432984 649476 1298952 1858223 3716446 5574669 7432892 11149338 14865784 16724007 22298676 33448014 44597352 66896028 133792056