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89100660 = 2235111271063
BaseRepresentation
bin1010100111110…
…01000101110100
320012122210010110
411103321011310
5140302210120
612501423020
72131225455
oct523710564
9205583113
1089100660
1146327710
1225a0aa70
13155c87ac
14bb9512c
157c502e0
hex54f9174

89100660 has 96 divisors (see below), whose sum is σ = 274563072. Its totient is φ = 21409920.

The previous prime is 89100653. The next prime is 89100677. The reversal of 89100660 is 6600198.

It is a super-2 number, since 2×891006602 = 15877855224871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83289 + ... + 84351.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 289100660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89100660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137281536).

89100660 is an abundant number, since it is smaller than the sum of its proper divisors (185462412).

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

89100660 is a wasteful number, since it uses less digits than its factorization.

89100660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89100660 is about 9439.3145937616. The cubic root of 89100660 is about 446.6427687024.

The spelling of 89100660 in words is "eighty-nine million, one hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1063 1270 1397 1524 1905 2126 2540 2794 3189 3810 4191 4252 5315 5588 6378 6985 7620 8382 10630 11693 12756 13970 15945 16764 20955 21260 23386 27940 31890 35079 41910 46772 58465 63780 70158 83820 116930 135001 140316 175395 233860 270002 350790 405003 540004 675005 701580 810006 1350010 1485011 1620012 2025015 2700020 2970022 4050030 4455033 5940044 7425055 8100060 8910066 14850110 17820132 22275165 29700220 44550330 89100660