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138338880 = 2635144103
BaseRepresentation
bin10000011111011…
…10001001000000
3100122022100021020
420033232021000
5240403321010
621421025440
73266601231
oct1017561100
9318270236
10138338880
11710a8059
123a3b5280
1322878234
1414531088
15c229470
hex83ee240

138338880 has 56 divisors (see below), whose sum is σ = 439228992. Its totient is φ = 36890112.

The previous prime is 138338873. The next prime is 138338887. The reversal of 138338880 is 88833831.

It is an interprime number because it is at equal distance from previous prime (138338873) and next prime (138338887).

It is not an unprimeable number, because it can be changed into a prime (138338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71092 + ... + 73011.

Almost surely, 2138338880 is an apocalyptic number.

138338880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138338880 is an abundant number, since it is smaller than the sum of its proper divisors (300890112).

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

138338880 is a wasteful number, since it uses less digits than its factorization.

138338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144123 (or 144113 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 138338880 is about 11761.7549710917. The cubic root of 138338880 is about 517.1875777664.

The spelling of 138338880 in words is "one hundred thirty-eight million, three hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 144103 288206 432309 576412 720515 864618 1152824 1441030 1729236 2161545 2305648 2882060 3458472 4323090 4611296 5764120 6916944 8646180 9222592 11528240 13833888 17292360 23056480 27667776 34584720 46112960 69169440 138338880