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90024012 = 2232131491291
BaseRepresentation
bin1010101110110…
…10100001001100
320021101200201200
411113122201030
5141021232022
612533305500
72142122451
oct527324114
9207350650
1090024012
11468a8411
1226195290
131585cb60
14bd55828
157d83bac
hex55da84c

90024012 has 72 divisors (see below), whose sum is σ = 246901200. Its totient is φ = 27492480.

The previous prime is 90024007. The next prime is 90024037. The reversal of 90024012 is 21042009.

It is a super-2 number, since 2×900240122 = 16208645473152288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69087 + ... + 70377.

Almost surely, 290024012 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 90024012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123450600).

90024012 is an abundant number, since it is smaller than the sum of its proper divisors (156877188).

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

90024012 is a wasteful number, since it uses less digits than its factorization.

90024012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90024012 is about 9488.0984396242. The cubic root of 90024012 is about 448.1803257380.

The spelling of 90024012 in words is "ninety million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1291 1341 1788 1937 2582 2682 3873 3874 5164 5364 5811 7746 7748 11619 11622 15492 16783 17433 23238 23244 33566 34866 46476 50349 67132 69732 100698 151047 192359 201396 302094 384718 577077 604188 769436 1154154 1731231 2308308 2500667 3462462 5001334 6924924 7502001 10002668 15004002 22506003 30008004 45012006 90024012