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138964020 = 2235131631093
BaseRepresentation
bin10000100100001…
…10110000110100
3100200111002210120
420102012300310
5241033322040
621442251540
73305113626
oct1022066064
9320432716
10138964020
11714947a8
123a656bb0
1322a36940
1414654c16
15c2ee7d0
hex8486c34

138964020 has 96 divisors (see below), whose sum is σ = 421986432. Its totient is φ = 33965568.

The previous prime is 138964019. The next prime is 138964031. The reversal of 138964020 is 20469831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126594 + ... + 127686.

It is an arithmetic number, because the mean of its divisors is an integer number (4395692).

Almost surely, 2138964020 is an apocalyptic number.

138964020 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 138964020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210993216).

138964020 is an abundant number, since it is smaller than the sum of its proper divisors (283022412).

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

138964020 is a wasteful number, since it uses less digits than its factorization.

138964020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

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

The square root of 138964020 is about 11788.3001319105. The cubic root of 138964020 is about 517.9654474252.

The spelling of 138964020 in words is "one hundred thirty-eight million, nine hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 163 195 260 326 390 489 652 780 815 978 1093 1630 1956 2119 2186 2445 3260 3279 4238 4372 4890 5465 6357 6558 8476 9780 10595 10930 12714 13116 14209 16395 21190 21860 25428 28418 31785 32790 42380 42627 56836 63570 65580 71045 85254 127140 142090 170508 178159 213135 284180 356318 426270 534477 712636 852540 890795 1068954 1781590 2137908 2316067 2672385 3563180 4632134 5344770 6948201 9264268 10689540 11580335 13896402 23160670 27792804 34741005 46321340 69482010 138964020