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138313860 = 223515714683
BaseRepresentation
bin10000011111010…
…00000010000100
3100122021001221120
420033220002010
5240402020420
621420313540
73266435256
oct1017500204
9318231846
10138313860
1171090283
123a3a28b0
1322869a29
1414525cd6
15c221d40
hex83e8084

138313860 has 48 divisors (see below), whose sum is σ = 389772096. Its totient is φ = 36646272.

The previous prime is 138313831. The next prime is 138313883. The reversal of 138313860 is 68313831.

It is a happy number.

138313860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (8120252).

Almost surely, 2138313860 is an apocalyptic number.

138313860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138313860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194886048).

138313860 is an abundant number, since it is smaller than the sum of its proper divisors (251458236).

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

138313860 is a wasteful number, since it uses less digits than its factorization.

138313860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138313860 is about 11760.6913062116. The cubic root of 138313860 is about 517.1563963338.

The spelling of 138313860 in words is "one hundred thirty-eight million, three hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 14683 29366 44049 58732 73415 88098 146830 176196 220245 293660 440490 880980 2305231 4610462 6915693 9220924 11526155 13831386 23052310 27662772 34578465 46104620 69156930 138313860