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137463084 = 223211347129
BaseRepresentation
bin10000011000110…
…00010100101100
3100120122211220100
420030120110230
5240142304314
621350151100
73256263003
oct1014302454
9316584810
10137463084
117065a060
123a052490
132262c705
1414383c3a
15c104c09
hex831852c

137463084 has 36 divisors (see below), whose sum is σ = 379065960. Its totient is φ = 41655360.

The previous prime is 137463059. The next prime is 137463089. The reversal of 137463084 is 480364731.

137463084 is a `hidden beast` number, since 13 + 7 + 4 + 630 + 8 + 4 = 666.

137463084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (137463089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173169 + ... + 173960.

It is an arithmetic number, because the mean of its divisors is an integer number (10529610).

Almost surely, 2137463084 is an apocalyptic number.

It is an amenable number.

137463084 is an abundant number, since it is smaller than the sum of its proper divisors (241602876).

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

137463084 is a wasteful number, since it uses less digits than its factorization.

137463084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347150 (or 347145 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137463084 is about 11724.4651903616. The cubic root of 137463084 is about 516.0938624995.

The spelling of 137463084 in words is "one hundred thirty-seven million, four hundred sixty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 347129 694258 1041387 1388516 2082774 3124161 3818419 4165548 6248322 7636838 11455257 12496644 15273676 22910514 34365771 45821028 68731542 137463084