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90313760 = 2554313127
BaseRepresentation
bin1010110001000…
…01010000100000
320021221102012002
411120201100200
5141110020020
612543423132
72144440265
oct530412040
9207842162
1090313760
1146a86079
12262b4aa8
13159319c4
14bdcd26c
157dde975
hex5621420

90313760 has 48 divisors (see below), whose sum is σ = 218344896. Its totient is φ = 35282688.

The previous prime is 90313753. The next prime is 90313763. The reversal of 90313760 is 6731309.

It is not an unprimeable number, because it can be changed into a prime (90313763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 13443.

It is an arithmetic number, because the mean of its divisors is an integer number (4548852).

Almost surely, 290313760 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 90313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109172448).

90313760 is an abundant number, since it is smaller than the sum of its proper divisors (128031136).

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

90313760 is a wasteful number, since it uses less digits than its factorization.

90313760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13185 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 90313760 is about 9503.3551969817. The cubic root of 90313760 is about 448.6606430761.

The spelling of 90313760 in words is "ninety million, three hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 13127 26254 52508 65635 105016 131270 210032 262540 420064 525080 564461 1050160 1128922 2100320 2257844 2822305 4515688 5644610 9031376 11289220 18062752 22578440 45156880 90313760