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139105512 = 23347213337
BaseRepresentation
bin10000100101010…
…01010011101000
3100200202021220000
420102221103220
5241102334022
621445303000
73306243300
oct1022512350
9320667800
10139105512
1171581037
123a704a60
1322a86170
1414690600
15c32b6ac
hex84a94e8

139105512 has 240 divisors, whose sum is σ = 489549060. Its totient is φ = 36578304.

The previous prime is 139105511. The next prime is 139105523. The reversal of 139105512 is 215501931.

139105512 is a `hidden beast` number, since 139 + 10 + 5 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125753796 + 13351716 = 11214^2 + 3654^2 .

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 (139105511) 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 59 ways as a sum of consecutive naturals, for example, 412608 + ... + 412944.

Almost surely, 2139105512 is an apocalyptic number.

139105512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139105512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244774530).

139105512 is an abundant number, since it is smaller than the sum of its proper divisors (350443548).

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

139105512 is a wasteful number, since it uses less digits than its factorization.

139105512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 139105512 is about 11794.2999792273. The cubic root of 139105512 is about 518.1411838194.

The spelling of 139105512 in words is "one hundred thirty-nine million, one hundred five thousand, five hundred twelve".