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138997160 = 23519374943
BaseRepresentation
bin10000100100011…
…10110110101000
3100200112210020222
420102032312220
5241040402120
621443105212
73305312351
oct1022166650
9320483228
10138997160
1171507695
123a672208
1322a48a53
1414662d28
15c309525
hex848eda8

138997160 has 64 divisors (see below), whose sum is σ = 338169600. Its totient is φ = 51238656.

The previous prime is 138997147. The next prime is 138997163. The reversal of 138997160 is 61799831.

It is not an unprimeable number, because it can be changed into a prime (138997163) 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, 25649 + ... + 30591.

It is an arithmetic number, because the mean of its divisors is an integer number (5283900).

Almost surely, 2138997160 is an apocalyptic number.

138997160 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 138997160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169084800).

138997160 is an abundant number, since it is smaller than the sum of its proper divisors (199172440).

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

138997160 is a wasteful number, since it uses less digits than its factorization.

138997160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 138997160 is about 11789.7056791084. The cubic root of 138997160 is about 518.0066187792.

The spelling of 138997160 in words is "one hundred thirty-eight million, nine hundred ninety-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 4943 5624 7030 9886 14060 19772 24715 28120 39544 49430 93917 98860 182891 187834 197720 365782 375668 469585 731564 751336 914455 939170 1463128 1828910 1878340 3474929 3657820 3756680 6949858 7315640 13899716 17374645 27799432 34749290 69498580 138997160