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138671104 = 2101113947
BaseRepresentation
bin10000100001111…
…11010000000000
3100122221012222211
420100333100000
5240444433404
621432111504
73302453635
oct1020772000
9318835884
10138671104
1171304720
123a535594
1322963510
14145ba18c
15c292b04
hex843f400

138671104 has 88 divisors (see below), whose sum is σ = 326013408. Its totient is φ = 58122240.

The previous prime is 138671089. The next prime is 138671111. The reversal of 138671104 is 401176831.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145959 + ... + 146905.

Almost surely, 2138671104 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 138671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163006704).

138671104 is an abundant number, since it is smaller than the sum of its proper divisors (187342304).

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

138671104 is a wasteful number, since it uses less digits than its factorization.

138671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 138671104 is about 11775.8695644950. The cubic root of 138671104 is about 517.6012594061.

The spelling of 138671104 in words is "one hundred thirty-eight million, six hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 947 1024 1144 1408 1664 1894 2288 2816 3328 3788 4576 5632 6656 7576 9152 10417 11264 12311 13312 15152 18304 20834 24622 30304 36608 41668 49244 60608 73216 83336 98488 121216 135421 146432 166672 196976 242432 270842 333344 393952 484864 541684 666688 787904 969728 1083368 1333376 1575808 2166736 2666752 3151616 4333472 5333504 6303232 8666944 10667008 12606464 17333888 34667776 69335552 138671104