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135024084 = 22341332057
BaseRepresentation
bin10000000110001…
…00110111010100
3100102001221020000
420003010313110
5234031232314
621222011300
73226454136
oct1003046724
9312057200
10135024084
116a243658
1239276b30
1321c87510
1413d0b056
15bcc2209
hex80c4dd4

135024084 has 60 divisors (see below), whose sum is σ = 380143764. Its totient is φ = 41544576.

The previous prime is 135024083. The next prime is 135024101. The reversal of 135024084 is 480420531.

It can be written as a sum of positive squares in 2 ways, for example, as 90668484 + 44355600 = 9522^2 + 6660^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135024083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11817 + ... + 20240.

Almost surely, 2135024084 is an apocalyptic number.

It is an amenable number.

135024084 is an abundant number, since it is smaller than the sum of its proper divisors (245119680).

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

135024084 is a wasteful number, since it uses less digits than its factorization.

135024084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086 (or 32075 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135024084 is about 11619.9864027459. The cubic root of 135024084 is about 513.0232881600.

The spelling of 135024084 in words is "one hundred thirty-five million, twenty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 32057 64114 96171 128228 192342 288513 384684 416741 577026 833482 865539 1154052 1250223 1666964 1731078 2500446 2596617 3462156 3750669 5000892 5193234 7501338 10386468 11252007 15002676 22504014 33756021 45008028 67512042 135024084