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138903900 = 223522341491
BaseRepresentation
bin10000100011110…
…00000101011100
3100200101001022220
420101320011130
5241024411100
621441105340
73304443432
oct1021700534
9320331286
10138903900
1171453613
123a628250
1322a15475
141463ad52
15c2dbaa0
hex847815c

138903900 has 144 divisors (see below), whose sum is σ = 430472448. Its totient is φ = 34496000.

The previous prime is 138903899. The next prime is 138903917. The reversal of 138903900 is 9309831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282655 + ... + 283145.

It is an arithmetic number, because the mean of its divisors is an integer number (2989392).

Almost surely, 2138903900 is an apocalyptic number.

138903900 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 138903900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215236224).

138903900 is an abundant number, since it is smaller than the sum of its proper divisors (291568548).

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

138903900 is a wasteful number, since it uses less digits than its factorization.

138903900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 138903900 is about 11785.7498700762. The cubic root of 138903900 is about 517.8907408585.

The spelling of 138903900 in words is "one hundred thirty-eight million, nine hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 41 46 50 60 69 75 82 92 100 115 123 138 150 164 205 230 246 276 300 345 410 460 491 492 575 615 690 820 943 982 1025 1150 1230 1380 1473 1725 1886 1964 2050 2300 2455 2460 2829 2946 3075 3450 3772 4100 4715 4910 5658 5892 6150 6900 7365 9430 9820 11293 11316 12275 12300 14145 14730 18860 20131 22586 23575 24550 28290 29460 33879 36825 40262 45172 47150 49100 56465 56580 60393 67758 70725 73650 80524 94300 100655 112930 120786 135516 141450 147300 169395 201310 225860 241572 282325 282900 301965 338790 402620 463013 503275 564650 603930 677580 846975 926026 1006550 1129300 1207860 1389039 1509825 1693950 1852052 2013100 2315065 2778078 3019650 3387900 4630130 5556156 6039300 6945195 9260260 11575325 13890390 23150650 27780780 34725975 46301300 69451950 138903900