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138234760 = 23511293061
BaseRepresentation
bin10000011110101…
…00101110001000
3100122010001102221
420033110232020
5240342003020
621414503424
73265655536
oct1017245610
9318101387
10138234760
1171036904
123a364b74
132283ca21
1414505156
15c2086aa
hex83d4b88

138234760 has 32 divisors (see below), whose sum is σ = 311405400. Its totient is φ = 55226880.

The previous prime is 138234749. The next prime is 138234773. The reversal of 138234760 is 67432831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114789796 + 23444964 = 10714^2 + 4842^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43630 + ... + 46690.

Almost surely, 2138234760 is an apocalyptic number.

138234760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138234760 is an abundant number, since it is smaller than the sum of its proper divisors (173170640).

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

138234760 is a wasteful number, since it uses less digits than its factorization.

138234760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 138234760 is about 11757.3279277224. The cubic root of 138234760 is about 517.0577924014.

The spelling of 138234760 in words is "one hundred thirty-eight million, two hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1129 2258 3061 4516 5645 6122 9032 11290 12244 15305 22580 24488 30610 45160 61220 122440 3455869 6911738 13823476 17279345 27646952 34558690 69117380 138234760