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138700824 = 23317615573
BaseRepresentation
bin10000100010001…
…10100000011000
3100122222201202120
420101012200120
5241001411244
621432501240
73302636403
oct1021064030
9318881676
10138700824
1171324a89
123a54a820
1322973bc2
14145c6d3a
15c29b819
hex8446818

138700824 has 64 divisors (see below), whose sum is σ = 373235040. Its totient is φ = 42792960.

The previous prime is 138700813. The next prime is 138700831. The reversal of 138700824 is 428007831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22102 + ... + 27674.

Almost surely, 2138700824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138700824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617520).

138700824 is an abundant number, since it is smaller than the sum of its proper divisors (234534216).

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

138700824 is a wasteful number, since it uses less digits than its factorization.

138700824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 138700824 is about 11777.1313994538. The cubic root of 138700824 is about 517.6382342099.

The spelling of 138700824 in words is "one hundred thirty-eight million, seven hundred thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 5573 6222 8296 11146 12444 16719 22292 24888 33438 44584 66876 94741 133752 189482 284223 339953 378964 568446 679906 757928 1019859 1136892 1359812 2039718 2273784 2719624 4079436 5779201 8158872 11558402 17337603 23116804 34675206 46233608 69350412 138700824