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135526032 = 2432941153
BaseRepresentation
bin10000001001111…
…11011010010000
3100110000102202200
420010333122100
5234143313112
621240443200
73233644425
oct1004773220
9313012680
10135526032
116a556794
1239479500
1322101b25
1413ddbd4c
15bd70cdc
hex813f690

135526032 has 30 divisors (see below), whose sum is σ = 379285062. Its totient is φ = 45175296.

The previous prime is 135526021. The next prime is 135526043. The reversal of 135526032 is 230625531.

135526032 is a `hidden beast` number, since 1 + 3 + 5 + 52 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (135526021) and next prime (135526043).

It can be written as a sum of positive squares in only one way, i.e., 120033936 + 15492096 = 10956^2 + 3936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135525987 and 135526005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 470433 + ... + 470720.

Almost surely, 2135526032 is an apocalyptic number.

135526032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135526032 is an abundant number, since it is smaller than the sum of its proper divisors (243759030).

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

135526032 is a wasteful number, since it uses less digits than its factorization.

135526032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941167 (or 941158 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135526032 is about 11641.5648432674. The cubic root of 135526032 is about 513.6582182819.

The spelling of 135526032 in words is "one hundred thirty-five million, five hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 941153 1882306 2823459 3764612 5646918 7529224 8470377 11293836 15058448 16940754 22587672 33881508 45175344 67763016 135526032