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138679024 = 241119113367
BaseRepresentation
bin10000100010000…
…01001011110000
3100122221121212011
420101001023300
5241000212044
621432212304
73302516011
oct1021011360
9318847764
10138679024
117130a670
123a53a094
1322966cc3
14145bd008
15c295134
hex84412f0

138679024 has 80 divisors (see below), whose sum is σ = 312122880. Its totient is φ = 59028480.

The previous prime is 138679019. The next prime is 138679039. The reversal of 138679024 is 420976831.

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, 377689 + ... + 378055.

It is an arithmetic number, because the mean of its divisors is an integer number (3901536).

Almost surely, 2138679024 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 138679024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156061440).

138679024 is an abundant number, since it is smaller than the sum of its proper divisors (173443856).

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

138679024 is a wasteful number, since it uses less digits than its factorization.

138679024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 138679024 is about 11776.2058405923. The cubic root of 138679024 is about 517.6111132348.

The spelling of 138679024 in words is "one hundred thirty-eight million, six hundred seventy-nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 113 152 176 209 226 304 367 418 452 734 836 904 1243 1468 1672 1808 2147 2486 2936 3344 4037 4294 4972 5872 6973 8074 8588 9944 13946 16148 17176 19888 23617 27892 32296 34352 41471 47234 55784 64592 76703 82942 94468 111568 153406 165884 188936 306812 331768 377872 456181 613624 663536 787949 912362 1227248 1575898 1824724 3151796 3649448 6303592 7298896 8667439 12607184 17334878 34669756 69339512 138679024