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115083900 = 223252711801
BaseRepresentation
bin1101101110000…
…00101001111100
322000112212102200
412313000221330
5213430141100
615230351500
72565124401
oct667005174
9260485380
10115083900
1159a64268
123265b590
131aac53a9
14113da2a8
15a183e00
hex6dc0a7c

115083900 has 108 divisors (see below), whose sum is σ = 366007824. Its totient is φ = 30240000.

The previous prime is 115083887. The next prime is 115083901. The reversal of 115083900 is 9380511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115083901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63000 + ... + 64800.

Almost surely, 2115083900 is an apocalyptic number.

115083900 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 115083900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183003912).

115083900 is an abundant number, since it is smaller than the sum of its proper divisors (250923924).

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

115083900 is a wasteful number, since it uses less digits than its factorization.

115083900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 115083900 is about 10727.7164392055. The cubic root of 115083900 is about 486.4126455244.

The spelling of 115083900 in words is "one hundred fifteen million, eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 1801 2130 2556 3195 3550 3602 4260 5325 5403 6390 7100 7204 9005 10650 10806 12780 15975 16209 18010 21300 21612 27015 31950 32418 36020 45025 54030 63900 64836 81045 90050 108060 127871 135075 162090 180100 255742 270150 324180 383613 405225 511484 540300 639355 767226 810450 1150839 1278710 1534452 1620900 1918065 2301678 2557420 3196775 3836130 4603356 5754195 6393550 7672260 9590325 11508390 12787100 19180650 23016780 28770975 38361300 57541950 115083900