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138180020 = 225113120261
BaseRepresentation
bin10000011110001…
…11010110110100
3100122000021100112
420033013112310
5240333230040
621413402152
73265340126
oct1017072664
9318007315
10138180020
1170aa9770
123a339358
1322820b34
14144cd216
15c1e7365
hex83c75b4

138180020 has 48 divisors (see below), whose sum is σ = 326785536. Its totient is φ = 48624000.

The previous prime is 138180011. The next prime is 138180023. The reversal of 138180020 is 20081831.

138180020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138180023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3311 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (6808032).

Almost surely, 2138180020 is an apocalyptic number.

138180020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138180020 is an abundant number, since it is smaller than the sum of its proper divisors (188605516).

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

138180020 is a wasteful number, since it uses less digits than its factorization.

138180020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20312 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 138180020 is about 11754.9997873245. Note that the first 3 decimals coincide. The cubic root of 138180020 is about 516.9895329650.

The spelling of 138180020 in words is "one hundred thirty-eight million, one hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 20261 40522 81044 101305 202610 222871 405220 445742 628091 891484 1114355 1256182 2228710 2512364 3140455 4457420 6280910 6909001 12561820 13818002 27636004 34545005 69090010 138180020