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138395280 = 2435576647
BaseRepresentation
bin10000011111110…
…11111010010000
3100122102012122010
420033323322100
5240412122110
621422142520
73300224532
oct1017737220
9318365563
10138395280
1171136471
123a421a40
1322897aca
1414547852
15c23b020
hex83fbe90

138395280 has 40 divisors (see below), whose sum is σ = 429026112. Its totient is φ = 36905344.

The previous prime is 138395269. The next prime is 138395291. The reversal of 138395280 is 82593831.

138395280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138395269) and next prime (138395291).

It is a tau number, because it is divible by the number of its divisors (40).

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, 288084 + ... + 288563.

Almost surely, 2138395280 is an apocalyptic number.

138395280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138395280 is an abundant number, since it is smaller than the sum of its proper divisors (290630832).

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

138395280 is a wasteful number, since it uses less digits than its factorization.

138395280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576663 (or 576657 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 138395280 is about 11764.1523281535. The cubic root of 138395280 is about 517.2578530600.

The spelling of 138395280 in words is "one hundred thirty-eight million, three hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 576647 1153294 1729941 2306588 2883235 3459882 4613176 5766470 6919764 8649705 9226352 11532940 13839528 17299410 23065880 27679056 34598820 46131760 69197640 138395280