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133900585 = 57213172473
BaseRepresentation
bin1111111101100…
…10100100101001
3100022221212001221
413332302210221
5233234304320
621141542041
73214064500
oct776624451
9308855057
10133900585
1169646545
1238a14921
1321983020
1413ad7837
15bb4e3aa
hex7fb2929

133900585 has 48 divisors (see below), whose sum is σ = 213219216. Its totient is φ = 79736832.

The previous prime is 133900583. The next prime is 133900597. The reversal of 133900585 is 585009331.

It can be written as a sum of positive squares in 8 ways, for example, as 12544 + 133888041 = 112^2 + 11571^2 .

It is not a de Polignac number, because 133900585 - 21 = 133900583 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133900585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133900583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52909 + ... + 55381.

It is an arithmetic number, because the mean of its divisors is an integer number (4442067).

Almost surely, 2133900585 is an apocalyptic number.

It is an amenable number.

133900585 is a deficient number, since it is larger than the sum of its proper divisors (79318631).

133900585 is a wasteful number, since it uses less digits than its factorization.

133900585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 133900585 is about 11571.5420320716. The cubic root of 133900585 is about 511.5964137767.

The spelling of 133900585 in words is "one hundred thirty-three million, nine hundred thousand, five hundred eighty-five".

Divisors: 1 5 7 13 17 35 49 65 85 91 119 221 245 455 595 637 833 1105 1547 2473 3185 4165 7735 10829 12365 17311 32149 42041 54145 86555 121177 160745 210205 225043 294287 546533 605885 1125215 1471435 1575301 2060009 2732665 3825731 7876505 10300045 19128655 26780117 133900585