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138210318 = 23237207523
BaseRepresentation
bin10000011110011…
…10110000001110
3100122001210220200
420033032300032
5240340212233
621414154330
73265524351
oct1017166016
9318053820
10138210318
117101a504
123a3529a6
132283186c
14144da298
15c201313
hex83cec0e

138210318 has 24 divisors (see below), whose sum is σ = 307550568. Its totient is φ = 44824752.

The previous prime is 138210287. The next prime is 138210337. The reversal of 138210318 is 813012831.

138210318 is a `hidden beast` number, since 138 + 210 + 318 = 666.

It is a super-2 number, since 2×1382103182 = 38204184003322248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138210291 and 138210300.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 103096 + ... + 104427.

It is an arithmetic number, because the mean of its divisors is an integer number (12814607).

Almost surely, 2138210318 is an apocalyptic number.

138210318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138210318 is an abundant number, since it is smaller than the sum of its proper divisors (169340250).

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

138210318 is a wasteful number, since it uses less digits than its factorization.

138210318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207568 (or 207565 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138210318 is about 11756.2884449132. The cubic root of 138210318 is about 517.0273160545.

The spelling of 138210318 in words is "one hundred thirty-eight million, two hundred ten thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 207523 415046 622569 1245138 1867707 3735414 7678351 15356702 23035053 46070106 69105159 138210318