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133620920 = 235191091613
BaseRepresentation
bin1111111011011…
…10010010111000
3100022102122102222
413331232102320
5233201332140
621131543212
73211521236
oct775562270
9308378388
10133620920
1169475414
12388bab08
13218b5944
1413a63956
15bae65b5
hex7f6e4b8

133620920 has 64 divisors (see below), whose sum is σ = 319572000. Its totient is φ = 50139648.

The previous prime is 133620919. The next prime is 133620923. The reversal of 133620920 is 29026331.

It is a self number, because there is not a number n which added to its sum of digits gives 133620920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133620923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82034 + ... + 83646.

Almost surely, 2133620920 is an apocalyptic number.

133620920 is a gapful number since it is divisible by the number (10) 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 133620920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159786000).

133620920 is an abundant number, since it is smaller than the sum of its proper divisors (185951080).

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

133620920 is a wasteful number, since it uses less digits than its factorization.

133620920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 133620920 is about 11559.4515440829. The cubic root of 133620920 is about 511.2399917936.

The spelling of 133620920 in words is "one hundred thirty-three million, six hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 109 152 190 218 380 436 545 760 872 1090 1613 2071 2180 3226 4142 4360 6452 8065 8284 10355 12904 16130 16568 20710 30647 32260 41420 61294 64520 82840 122588 153235 175817 245176 306470 351634 612940 703268 879085 1225880 1406536 1758170 3340523 3516340 6681046 7032680 13362092 16702615 26724184 33405230 66810460 133620920