Search a number
-
+
138825108 = 22323856253
BaseRepresentation
bin10000100011001…
…00110110010100
3100200020001020200
420101210312110
5241014400413
621435300500
73303664632
oct1021446624
9320201220
10138825108
11713aa3a4
123a5aa730
13229b8646
141461a352
15c2c3573
hex8464d94

138825108 has 18 divisors (see below), whose sum is σ = 350919114. Its totient is φ = 46275024.

The previous prime is 138825107. The next prime is 138825119. The reversal of 138825108 is 801528831.

138825108 is a `hidden beast` number, since 138 + 8 + 2 + 510 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74857104 + 63968004 = 8652^2 + 7998^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1388251082 = 38544821222423328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3856253 = 138825108 / (1 + 3 + 8 + 8 + 2 + 5 + 1 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138825107) 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 5 ways as a sum of consecutive naturals, for example, 1928091 + ... + 1928162.

Almost surely, 2138825108 is an apocalyptic number.

138825108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138825108 is an abundant number, since it is smaller than the sum of its proper divisors (212094006).

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

138825108 is a wasteful number, since it uses less digits than its factorization.

138825108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856263 (or 3856258 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 138825108 is about 11782.4067150986. The cubic root of 138825108 is about 517.7927993674.

The spelling of 138825108 in words is "one hundred thirty-eight million, eight hundred twenty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 3856253 7712506 11568759 15425012 23137518 34706277 46275036 69412554 138825108