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138068940 = 223515714657
BaseRepresentation
bin10000011101011…
…00001111001100
3100121210121222110
420032230033030
5240321201230
621411144020
73264365232
oct1016541714
9317717873
10138068940
1170a33269
123a2a5010
13227b23c9
14144a0952
15c1c44b0
hex83ac3cc

138068940 has 48 divisors (see below), whose sum is σ = 389081952. Its totient is φ = 36581376.

The previous prime is 138068933. The next prime is 138068969. The reversal of 138068940 is 49860831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2092 + ... + 16748.

It is an arithmetic number, because the mean of its divisors is an integer number (8105874).

Almost surely, 2138068940 is an apocalyptic number.

138068940 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 138068940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194540976).

138068940 is an abundant number, since it is smaller than the sum of its proper divisors (251013012).

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

138068940 is a wasteful number, since it uses less digits than its factorization.

138068940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14826 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 138068940 is about 11750.2740393576. The cubic root of 138068940 is about 516.8509635048.

The spelling of 138068940 in words is "one hundred thirty-eight million, sixty-eight thousand, nine hundred forty".

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 14657 29314 43971 58628 73285 87942 146570 175884 219855 293140 439710 879420 2301149 4602298 6903447 9204596 11505745 13806894 23011490 27613788 34517235 46022980 69034470 138068940