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13139100 = 223252131123
BaseRepresentation
bin110010000111…
…110010011100
3220201112110100
4302013302130
511330422400
61145341100
7216452262
oct62076234
926645410
1013139100
117464667
124497790
132950620
141a60432
151248100
hexc87c9c

13139100 has 108 divisors (see below), whose sum is σ = 44391256. Its totient is φ = 3231360.

The previous prime is 13139083. The next prime is 13139111. The reversal of 13139100 is 193131.

13139100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11139 + ... + 12261.

Almost surely, 213139100 is an apocalyptic number.

13139100 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 13139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195628).

13139100 is an abundant number, since it is smaller than the sum of its proper divisors (31252156).

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

13139100 is a wasteful number, since it uses less digits than its factorization.

13139100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 13139100 is about 3624.7896490693. The cubic root of 13139100 is about 235.9691379733.

The spelling of 13139100 in words is "thirteen million, one hundred thirty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1123 1170 1300 1950 2246 2340 2925 3369 3900 4492 5615 5850 6738 10107 11230 11700 13476 14599 16845 20214 22460 28075 29198 33690 40428 43797 50535 56150 58396 67380 72995 84225 87594 101070 112300 131391 145990 168450 175188 202140 218985 252675 262782 291980 336900 364975 437970 505350 525564 656955 729950 875940 1010700 1094925 1313910 1459900 2189850 2627820 3284775 4379700 6569550 13139100