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135468828 = 223311114031
BaseRepresentation
bin10000001001100…
…01011100011100
3100102220112022000
420010301130130
5234140000303
621235322300
73233315565
oct1004613434
9312815260
10135468828
116a517810
1239450390
13220b1a91
1413dc516c
15bd5dda3
hex813171c

135468828 has 48 divisors (see below), whose sum is σ = 383147520. Its totient is φ = 41050800.

The previous prime is 135468821. The next prime is 135468829. The reversal of 135468828 is 828864531.

135468828 is a `hidden beast` number, since 1 + 3 + 546 + 88 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135468821) 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 15 ways as a sum of consecutive naturals, for example, 55828 + ... + 58203.

It is an arithmetic number, because the mean of its divisors is an integer number (7982240).

Almost surely, 2135468828 is an apocalyptic number.

135468828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135468828 is an abundant number, since it is smaller than the sum of its proper divisors (247678692).

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

135468828 is a wasteful number, since it uses less digits than its factorization.

135468828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114055 (or 114047 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 135468828 is about 11639.1076977576. The cubic root of 135468828 is about 513.5859383433.

The spelling of 135468828 in words is "one hundred thirty-five million, four hundred sixty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 114031 228062 342093 456124 684186 1026279 1254341 1368372 2052558 2508682 3078837 3763023 4105116 5017364 6157674 7526046 11289069 12315348 15052092 22578138 33867207 45156276 67734414 135468828