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138981096 = 23341391543
BaseRepresentation
bin10000100100010…
…10111011101000
3100200111222020000
420102022323220
5241034343341
621442503000
73305214462
oct1022127350
9320458200
10138981096
11714a6611
123a664a60
1322a41647
141465b132
15c3048b6
hex848aee8

138981096 has 80 divisors (see below), whose sum is σ = 392330400. Its totient is φ = 45963936.

The previous prime is 138981047. The next prime is 138981097. The reversal of 138981096 is 690189831.

It is a super-2 number, since 2×1389810962 = 38631490090722432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138981097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89301 + ... + 90843.

It is an arithmetic number, because the mean of its divisors is an integer number (4904130).

Almost surely, 2138981096 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 138981096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196165200).

138981096 is an abundant number, since it is smaller than the sum of its proper divisors (253349304).

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

138981096 is a wasteful number, since it uses less digits than its factorization.

138981096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 138981096 is about 11789.0243871153. The cubic root of 138981096 is about 517.9866625467.

The spelling of 138981096 in words is "one hundred thirty-eight million, nine hundred eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 556 648 834 1112 1251 1543 1668 2502 3086 3336 3753 4629 5004 6172 7506 9258 10008 11259 12344 13887 15012 18516 22518 27774 30024 37032 41661 45036 55548 83322 90072 111096 124983 166644 214477 249966 333288 428954 499932 643431 857908 999864 1286862 1715816 1930293 2573724 3860586 5147448 5790879 7721172 11581758 15442344 17372637 23163516 34745274 46327032 69490548 138981096