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138726612 = 223231197631
BaseRepresentation
bin10000100010011…
…00110011010100
3100200001001010200
420101030303110
5241003222422
621433220500
73303104523
oct1021146324
9320031120
10138726612
11713423a2
123a561730
132298286b
14145d24ba
15c2a42ac
hex844ccd4

138726612 has 72 divisors (see below), whose sum is σ = 364396032. Its totient is φ = 44452800.

The previous prime is 138726583. The next prime is 138726629. The reversal of 138726612 is 216627831.

138726612 is a `hidden beast` number, since 1 + 38 + 7 + 2 + 6 + 612 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 219537 + ... + 220167.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056).

Almost surely, 2138726612 is an apocalyptic number.

138726612 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 138726612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182198016).

138726612 is an abundant number, since it is smaller than the sum of its proper divisors (225669420).

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

138726612 is a wasteful number, since it uses less digits than its factorization.

138726612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 864 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 138726612 is about 11778.2261822398. The cubic root of 138726612 is about 517.6703129128.

The spelling of 138726612 in words is "one hundred thirty-eight million, seven hundred twenty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 197 279 372 394 558 591 631 788 1116 1182 1262 1773 1893 2364 2524 3546 3786 5679 6107 7092 7572 11358 12214 18321 19561 22716 24428 36642 39122 54963 58683 73284 78244 109926 117366 124307 176049 219852 234732 248614 352098 372921 497228 704196 745842 1118763 1491684 2237526 3853517 4475052 7707034 11560551 15414068 23121102 34681653 46242204 69363306 138726612