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100480086 = 23272373079
BaseRepresentation
bin1011111110100…
…11010001010110
321000001220202200
411333103101112
5201210330321
613545345330
72330031600
oct577232126
9230056680
10100480086
115179a1a3
1229798246
1317a81195
14d4b8170
158c4bd26
hex5fd3456

100480086 has 72 divisors (see below), whose sum is σ = 260179920. Its totient is φ = 27923616.

The previous prime is 100480067. The next prime is 100480091. The reversal of 100480086 is 680084001.

100480086 is a `hidden beast` number, since 100 + 480 + 0 + 86 = 666.

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, 31095 + ... + 34173.

It is an arithmetic number, because the mean of its divisors is an integer number (3613610).

Almost surely, 2100480086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100480086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130089960).

100480086 is an abundant number, since it is smaller than the sum of its proper divisors (159699834).

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

100480086 is a wasteful number, since it uses less digits than its factorization.

100480086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100480086 is about 10023.9755586294. The cubic root of 100480086 is about 464.9004851212.

The spelling of 100480086 in words is "one hundred million, four hundred eighty thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3079 3626 4662 5439 6158 9237 10878 16317 18474 21553 27711 32634 43106 55422 64659 113923 129318 150871 193977 227846 301742 341769 387954 452613 683538 797461 905226 1025307 1357839 1594922 2050614 2392383 2715678 4784766 5582227 7177149 11164454 14354298 16746681 33493362 50240043 100480086