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138559104 = 2732120277
BaseRepresentation
bin10000100001000…
…11111010000000
3100122201112100200
420100203322000
5240432342404
621425445200
73301506255
oct1020437200
9318645320
10138559104
1171238562
123a4a0800
1322924548
141458b42c
15c26e839
hex8423e80

138559104 has 48 divisors (see below), whose sum is σ = 398721570. Its totient is φ = 46185984.

The previous prime is 138559087. The next prime is 138559147. The reversal of 138559104 is 401955831.

It can be written as a sum of positive squares in only one way, i.e., 135489600 + 3069504 = 11640^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58987 + ... + 61290.

Almost surely, 2138559104 is an apocalyptic number.

It is an amenable number.

138559104 is an abundant number, since it is smaller than the sum of its proper divisors (260162466).

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

138559104 is a wasteful number, since it uses less digits than its factorization.

138559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120297 (or 120282 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 138559104 is about 11771.1131164389. The cubic root of 138559104 is about 517.4618721472.

The spelling of 138559104 in words is "one hundred thirty-eight million, five hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 120277 240554 360831 481108 721662 962216 1082493 1443324 1924432 2164986 2886648 3848864 4329972 5773296 7697728 8659944 11546592 15395456 17319888 23093184 34639776 46186368 69279552 138559104