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138081840 = 24351344257
BaseRepresentation
bin10000011101011…
…11011000110000
3100121211021200020
420032233120300
5240322104330
621411323440
73264450651
oct1016573060
9317737606
10138081840
1170a41a26
123a2b0580
13227b8240
14144a5528
15c1c8210
hex83af630

138081840 has 80 divisors (see below), whose sum is σ = 460991328. Its totient is φ = 33988608.

The previous prime is 138081833. The next prime is 138081851. The reversal of 138081840 is 48180831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 19009 + ... + 25248.

Almost surely, 2138081840 is an apocalyptic number.

138081840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138081840 is an abundant number, since it is smaller than the sum of its proper divisors (322909488).

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

138081840 is a wasteful number, since it uses less digits than its factorization.

138081840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44286 (or 44280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 138081840 is about 11750.8229499044. The cubic root of 138081840 is about 516.8670597385.

The spelling of 138081840 in words is "one hundred thirty-eight million, eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 44257 88514 132771 177028 221285 265542 354056 442570 531084 575341 663855 708112 885140 1062168 1150682 1327710 1726023 1770280 2124336 2301364 2655420 2876705 3452046 3540560 4602728 5310840 5753410 6904092 8630115 9205456 10621680 11506820 13808184 17260230 23013640 27616368 34520460 46027280 69040920 138081840