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138878640 = 24325192887
BaseRepresentation
bin10000100011100…
…01111010110000
3100200022202200100
420101301322300
5241023104030
621440352400
73304306665
oct1021617260
9320282610
10138878640
117143663a
123a615700
1322a06b14
1414631a6c
15c2d4360
hex8471eb0

138878640 has 60 divisors (see below), whose sum is σ = 466403184. Its totient is φ = 37034112.

The previous prime is 138878633. The next prime is 138878647. The reversal of 138878640 is 46878831.

It is an interprime number because it is at equal distance from previous prime (138878633) and next prime (138878647).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138878647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95724 + ... + 97163.

Almost surely, 2138878640 is an apocalyptic number.

138878640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138878640 is an abundant number, since it is smaller than the sum of its proper divisors (327524544).

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

138878640 is a wasteful number, since it uses less digits than its factorization.

138878640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192906 (or 192897 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 138878640 is about 11784.6781882239. The cubic root of 138878640 is about 517.8593457400.

The spelling of 138878640 in words is "one hundred thirty-eight million, eight hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 192887 385774 578661 771548 964435 1157322 1543096 1735983 1928870 2314644 2893305 3086192 3471966 3857740 4629288 5786610 6943932 7715480 8679915 9258576 11573220 13887864 15430960 17359830 23146440 27775728 34719660 46292880 69439320 138878640