Search a number
-
+
90318096 = 243211193001
BaseRepresentation
bin1010110001000…
…10010100010000
320021221122010200
411120202110100
5141110134341
612543455200
72144456031
oct530422420
9207848120
1090318096
1146a89360
12262b7500
131593397b
14bdd0a88
157de0db6
hex5622510

90318096 has 120 divisors (see below), whose sum is σ = 290353440. Its totient is φ = 25920000.

The previous prime is 90318089. The next prime is 90318101. The reversal of 90318096 is 69081309.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90318096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28596 + ... + 31596.

It is an arithmetic number, because the mean of its divisors is an integer number (2419612).

Almost surely, 290318096 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 90318096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145176720).

90318096 is an abundant number, since it is smaller than the sum of its proper divisors (200035344).

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

90318096 is a wasteful number, since it uses less digits than its factorization.

90318096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90318096 is about 9503.5833241994. The cubic root of 90318096 is about 448.6678230873.

The spelling of 90318096 in words is "ninety million, three hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3001 3344 3762 5016 6002 7524 9003 10032 12004 15048 18006 24008 27009 30096 33011 36012 48016 54018 57019 66022 72024 99033 108036 114038 132044 144048 171057 198066 216072 228076 264088 297099 342114 396132 432144 456152 513171 528176 594198 627209 684228 792264 912304 1026342 1188396 1254418 1368456 1584528 1881627 2052684 2376792 2508836 2736912 3763254 4105368 4753584 5017672 5644881 7526508 8210736 10035344 11289762 15053016 22579524 30106032 45159048 90318096