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135990072 = 233217111103
BaseRepresentation
bin10000001101100…
…00101100111000
3100110220000022100
420012300230320
5234303140242
621254423400
73240616341
oct1006605470
9313800270
10135990072
116a843399
1239661b60
13222350ca
14140bd0c8
15be1354c
hex81b0b38

135990072 has 48 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 42663168.

The previous prime is 135990061. The next prime is 135990097. The reversal of 135990072 is 270099531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54328 + ... + 56775.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2135990072 is an apocalyptic number.

135990072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135990072 is an abundant number, since it is smaller than the sum of its proper divisors (253984968).

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

135990072 is a wasteful number, since it uses less digits than its factorization.

135990072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111132 (or 111125 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 135990072 is about 11661.4781224337. The cubic root of 135990072 is about 514.2438042567.

The spelling of 135990072 in words is "one hundred thirty-five million, nine hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 111103 222206 333309 444412 666618 888824 999927 1333236 1888751 1999854 2666472 3777502 3999708 5666253 7555004 7999416 11332506 15110008 16998759 22665012 33997518 45330024 67995036 135990072