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138227160 = 23351398287
BaseRepresentation
bin10000011110100…
…10110111011000
3100122002200000110
420033102313120
5240341232120
621414404320
73265624431
oct1017226730
9318080013
10138227160
1171031125
123a3606a0
1322839426
1414502488
15c2062e0
hex83d2dd8

138227160 has 64 divisors (see below), whose sum is σ = 417715200. Its totient is φ = 36590976.

The previous prime is 138227149. The next prime is 138227161. The reversal of 138227160 is 61722831.

138227160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138227161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12537 + ... + 20823.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2138227160 is an apocalyptic number.

138227160 is a gapful number since it is divisible by the number (10) 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 138227160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208857600).

138227160 is an abundant number, since it is smaller than the sum of its proper divisors (279488040).

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

138227160 is a wasteful number, since it uses less digits than its factorization.

138227160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 138227160 is about 11757.0047205910. The cubic root of 138227160 is about 517.0483164653.

Adding to 138227160 its reverse (61722831), we get a palindrome (199949991).

The spelling of 138227160 in words is "one hundred thirty-eight million, two hundred twenty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8287 8340 16574 16680 24861 33148 41435 49722 66296 82870 99444 124305 165740 198888 248610 331480 497220 994440 1151893 2303786 3455679 4607572 5759465 6911358 9215144 11518930 13822716 17278395 23037860 27645432 34556790 46075720 69113580 138227160