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138564300 = 22352765983
BaseRepresentation
bin10000100001001…
…01001011001100
3100122201210111010
420100211023030
5240433024200
621425525220
73301530360
oct1020451314
9318653433
10138564300
1171241456
123a4a3810
1322926a14
141458d2a0
15c271150
hex84252cc

138564300 has 72 divisors (see below), whose sum is σ = 458192896. Its totient is φ = 31671360.

The previous prime is 138564289. The next prime is 138564311. The reversal of 138564300 is 3465831.

It is an interprime number because it is at equal distance from previous prime (138564289) and next prime (138564311).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30892 + ... + 35091.

Almost surely, 2138564300 is an apocalyptic number.

138564300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138564300 is an abundant number, since it is smaller than the sum of its proper divisors (319628596).

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

138564300 is a wasteful number, since it uses less digits than its factorization.

138564300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66007 (or 66000 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 138564300 is about 11771.3338241679. Note that the first 3 decimals coincide. The cubic root of 138564300 is about 517.4683403815.

The spelling of 138564300 in words is "one hundred thirty-eight million, five hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 65983 131966 197949 263932 329915 395898 461881 659830 791796 923762 989745 1319660 1385643 1649575 1847524 1979490 2309405 2771286 3299150 3958980 4618810 4948725 5542572 6598300 6928215 9237620 9897450 11547025 13856430 19794900 23094050 27712860 34641075 46188100 69282150 138564300