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133120520 = 23513594339
BaseRepresentation
bin1111110111101…
…00001000001000
3100021111020000122
413323310020020
5233034324040
621113122412
73204335321
oct773641010
9307436018
10133120520
1169163465
12386b9408
132176bc50
1413973448
15ba481b5
hex7ef4208

133120520 has 64 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 48307968.

The previous prime is 133120513. The next prime is 133120531. The reversal of 133120520 is 25021331.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28511 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (5126625).

Almost surely, 2133120520 is an apocalyptic number.

133120520 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 133120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

133120520 is an abundant number, since it is smaller than the sum of its proper divisors (194983480).

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

133120520 is a wasteful number, since it uses less digits than its factorization.

133120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 133120520 is about 11537.7866161582. The cubic root of 133120520 is about 510.6010087521.

Adding to 133120520 its reverse (25021331), we get a palindrome (158141851).

It can be divided in two parts, 133120 and 520, that multiplied together give a square (69222400 = 83202).

The spelling of 133120520 in words is "one hundred thirty-three million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 767 1180 1534 2360 3068 3835 4339 6136 7670 8678 15340 17356 21695 30680 34712 43390 56407 86780 112814 173560 225628 256001 282035 451256 512002 564070 1024004 1128140 1280005 2048008 2256280 2560010 3328013 5120020 6656026 10240040 13312052 16640065 26624104 33280130 66560260 133120520