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90113148 = 223710301
BaseRepresentation
bin1010101111100…
…00010001111100
320021120020000000
411113300101330
5141032110043
612535234300
72142643356
oct527602174
9207506000
1090113148
1146959384
1226218990
13158915b8
14bd7a0d6
157da02d3
hex55f047c

90113148 has 48 divisors (see below), whose sum is σ = 236533920. Its totient is φ = 30034800.

The previous prime is 90113087. The next prime is 90113159. The reversal of 90113148 is 84131109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3598 + ... + 13898.

It is an arithmetic number, because the mean of its divisors is an integer number (4927790).

Almost surely, 290113148 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 90113148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118266960).

90113148 is an abundant number, since it is smaller than the sum of its proper divisors (146420772).

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

90113148 is a wasteful number, since it uses less digits than its factorization.

90113148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 90113148 is about 9492.7945305900. The cubic root of 90113148 is about 448.3281967445.

The spelling of 90113148 in words is "ninety million, one hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 10301 20602 30903 41204 61806 92709 123612 185418 278127 370836 556254 834381 1112508 1668762 2503143 3337524 5006286 7509429 10012572 15018858 22528287 30037716 45056574 90113148