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138387060 = 223257109831
BaseRepresentation
bin10000011111110…
…01111001110100
3100122101210100200
420033321321310
5240411341220
621422040500
73300161550
oct1017717164
9318353320
10138387060
1171130279
123a419130
1322894146
1414544860
15c238890
hex83f9e74

138387060 has 72 divisors (see below), whose sum is σ = 479746176. Its totient is φ = 31631040.

The previous prime is 138387031. The next prime is 138387071. The reversal of 138387060 is 60783831.

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, 53656 + ... + 56175.

Almost surely, 2138387060 is an apocalyptic number.

138387060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138387060 is an abundant number, since it is smaller than the sum of its proper divisors (341359116).

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

138387060 is a wasteful number, since it uses less digits than its factorization.

138387060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109853 (or 109848 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138387060 is about 11763.8029565273. The cubic root of 138387060 is about 517.2476119985.

The spelling of 138387060 in words is "one hundred thirty-eight million, three hundred eighty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 109831 219662 329493 439324 549155 658986 768817 988479 1098310 1317972 1537634 1647465 1976958 2196620 2306451 3075268 3294930 3844085 3953916 4612902 4942395 6589860 6919353 7688170 9225804 9884790 11532255 13838706 15376340 19769580 23064510 27677412 34596765 46129020 69193530 138387060