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90904716 = 223271811993
BaseRepresentation
bin1010110101100…
…01100010001100
320100001102211100
411122301202030
5141232422331
613004223100
72152451220
oct532614214
9210042740
1090904716
114734a071
122653aa90
1315aaa996
14c104780
157ea9ae6
hex56b188c

90904716 has 72 divisors (see below), whose sum is σ = 264197024. Its totient is φ = 25816320.

The previous prime is 90904711. The next prime is 90904733. The reversal of 90904716 is 61740909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90904711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44616 + ... + 46608.

Almost surely, 290904716 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 90904716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132098512).

90904716 is an abundant number, since it is smaller than the sum of its proper divisors (173292308).

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

90904716 is a wasteful number, since it uses less digits than its factorization.

90904716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90904716 is about 9534.3964675275. The cubic root of 90904716 is about 449.6371000126.

The spelling of 90904716 in words is "ninety million, nine hundred four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1267 1629 1993 2172 2534 3258 3801 3986 5068 5979 6516 7602 7972 11403 11958 13951 15204 17937 22806 23916 27902 35874 41853 45612 55804 71748 83706 125559 167412 251118 360733 502236 721466 1082199 1442932 2164398 2525131 3246597 4328796 5050262 6493194 7575393 10100524 12986388 15150786 22726179 30301572 45452358 90904716