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138958710 = 23511431977
BaseRepresentation
bin10000100100001…
…01011101110110
3100200110211111220
420102011131312
5241033134320
621442211210
73305062302
oct1022053566
9320424456
10138958710
1171490810
123a653b06
1322a343b7
1414652d02
15c2ece40
hex8485776

138958710 has 64 divisors (see below), whose sum is σ = 365036544. Its totient is φ = 33574400.

The previous prime is 138958693. The next prime is 138958711. The reversal of 138958710 is 17859831.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138958711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141742 + ... + 142718.

It is an arithmetic number, because the mean of its divisors is an integer number (5703696).

Almost surely, 2138958710 is an apocalyptic number.

138958710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138958710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182518272).

138958710 is an abundant number, since it is smaller than the sum of its proper divisors (226077834).

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

138958710 is a wasteful number, since it uses less digits than its factorization.

138958710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429.

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 138958710 is about 11788.0749064468. The cubic root of 138958710 is about 517.9588499583.

The spelling of 138958710 in words is "one hundred thirty-eight million, nine hundred fifty-eight thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 431 862 977 1293 1954 2155 2586 2931 4310 4741 4885 5862 6465 9482 9770 10747 12930 14223 14655 21494 23705 28446 29310 32241 47410 53735 64482 71115 107470 142230 161205 322410 421087 842174 1263261 2105435 2526522 4210870 4631957 6316305 9263914 12632610 13895871 23159785 27791742 46319570 69479355 138958710