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138459060 = 223255571381
BaseRepresentation
bin10000100000010…
…11011110110100
3100122112110010100
420100023132310
5240421142220
621423354100
73300611505
oct1020133664
9318473110
10138459060
117117a383
123a452930
13228bab4c
1414562bac
15c24ed90
hex840b7b4

138459060 has 72 divisors (see below), whose sum is σ = 421051176. Its totient is φ = 36829440.

The previous prime is 138459059. The next prime is 138459071. The reversal of 138459060 is 60954831.

138459060 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 590 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443556 + 138015504 = 666^2 + 11748^2 .

It is a super-2 number, since 2×1384590602 = 38341822592167200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 99570 + ... + 100950.

It is an arithmetic number, because the mean of its divisors is an integer number (5847933).

Almost surely, 2138459060 is an apocalyptic number.

138459060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138459060 is an abundant number, since it is smaller than the sum of its proper divisors (282592116).

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

138459060 is a wasteful number, since it uses less digits than its factorization.

138459060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 138459060 is about 11766.8627934552. The cubic root of 138459060 is about 517.3373009506.

The spelling of 138459060 in words is "one hundred thirty-eight million, four hundred fifty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557 1114 1381 1671 2228 2762 2785 3342 4143 5013 5524 5570 6684 6905 8286 8355 10026 11140 12429 13810 16572 16710 20052 20715 24858 25065 27620 33420 41430 49716 50130 62145 82860 100260 124290 248580 769217 1538434 2307651 3076868 3846085 4615302 6922953 7692170 9230604 11538255 13845906 15384340 23076510 27691812 34614765 46153020 69229530 138459060