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138432252 = 223721912391
BaseRepresentation
bin10000100000001…
…00111011111100
3100122111002100110
420100010323330
5240414313002
621423030020
73300440400
oct1020047374
9318432313
10138432252
1171161222
123a43b310
13228ab89a
1414557100
15c246e6c
hex8404efc

138432252 has 72 divisors (see below), whose sum is σ = 395552640. Its totient is φ = 37467360.

The previous prime is 138432211. The next prime is 138432269. The reversal of 138432252 is 252234831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977 + ... + 17367.

Almost surely, 2138432252 is an apocalyptic number.

138432252 is a gapful number since it is divisible by the number (12) 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 138432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197776320).

138432252 is an abundant number, since it is smaller than the sum of its proper divisors (257120388).

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

138432252 is a wasteful number, since it uses less digits than its factorization.

138432252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12422 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 138432252 is about 11765.7236071565. The cubic root of 138432252 is about 517.3039103981.

The spelling of 138432252 in words is "one hundred thirty-eight million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 11172 12391 24782 37173 49564 74346 86737 148692 173474 235429 260211 346948 470858 520422 607159 706287 941716 1040844 1214318 1412574 1648003 1821477 2428636 2825148 3296006 3642954 4944009 6592012 7285908 9888018 11536021 19776036 23072042 34608063 46144084 69216126 138432252