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133111520 = 2553147571
BaseRepresentation
bin1111110111100…
…01111011100000
3100021110202200022
413323301323200
5233034032040
621113013012
73204300143
oct773617340
9307422608
10133111520
1169157723
12386b4168
1321767b19
141397005a
15ba456b5
hex7ef1ee0

133111520 has 96 divisors (see below), whose sum is σ = 332107776. Its totient is φ = 50342400.

The previous prime is 133111507. The next prime is 133111571. The reversal of 133111520 is 25111331.

It is a congruent number.

It is an unprimeable number.

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, 232835 + ... + 233405.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2133111520 is an apocalyptic number.

133111520 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 133111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

133111520 is an abundant number, since it is smaller than the sum of its proper divisors (198996256).

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

133111520 is a wasteful number, since it uses less digits than its factorization.

133111520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 133111520 is about 11537.3965867521. The cubic root of 133111520 is about 510.5895016040.

Adding to 133111520 its reverse (25111331), we get a palindrome (158222851).

The spelling of 133111520 in words is "one hundred thirty-three million, one hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 80 94 124 155 160 188 235 248 310 376 470 496 571 620 752 940 992 1142 1240 1457 1504 1880 2284 2480 2855 2914 3760 4568 4960 5710 5828 7285 7520 9136 11420 11656 14570 17701 18272 22840 23312 26837 29140 35402 45680 46624 53674 58280 70804 88505 91360 107348 116560 134185 141608 177010 214696 233120 268370 283216 354020 429392 536740 566432 708040 831947 858784 1073480 1416080 1663894 2146960 2832160 3327788 4159735 4293920 6655576 8319470 13311152 16638940 26622304 33277880 66555760 133111520