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135523044 = 2235672081
BaseRepresentation
bin10000001001111…
…10101011100100
3100110000021200000
420010332223210
5234143214134
621240421300
73233632626
oct1004765344
9313007600
10135523044
116a554518
1239477830
1322100667
1413ddac16
15bd6ee99
hex813eae4

135523044 has 72 divisors (see below), whose sum is σ = 360735648. Its totient is φ = 44478720.

The previous prime is 135523019. The next prime is 135523051. The reversal of 135523044 is 440325531.

135523044 is a `hidden beast` number, since 1 + 355 + 2 + 304 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135522999 and 135523017.

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 23 ways as a sum of consecutive naturals, for example, 64084 + ... + 66164.

Almost surely, 2135523044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135523044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180367824).

135523044 is an abundant number, since it is smaller than the sum of its proper divisors (225212604).

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

135523044 is a wasteful number, since it uses less digits than its factorization.

135523044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135523044 is about 11641.4365092973. The cubic root of 135523044 is about 513.6544433071.

Adding to 135523044 its reverse (440325531), we get a palindrome (575848575).

The spelling of 135523044 in words is "one hundred thirty-five million, five hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 804 972 1206 1809 2081 2412 3618 4162 5427 6243 7236 8324 10854 12486 16281 18729 21708 24972 32562 37458 56187 65124 74916 112374 139427 168561 224748 278854 337122 418281 505683 557708 674244 836562 1011366 1254843 1673124 2022732 2509686 3764529 5019372 7529058 11293587 15058116 22587174 33880761 45174348 67761522 135523044