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90020920 = 235111091877
BaseRepresentation
bin1010101110110…
…01110000111000
320021101112111011
411113121300320
5141021132140
612533243304
72142110443
oct527316070
9207345434
1090020920
11468a6060
1226193534
131585b622
14bd5465a
157d82cea
hex55d9c38

90020920 has 64 divisors (see below), whose sum is σ = 223106400. Its totient is φ = 32417280.

The previous prime is 90020911. The next prime is 90020927. The reversal of 90020920 is 2902009.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 90020891 and 90020900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90020927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47022 + ... + 48898.

Almost surely, 290020920 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 90020920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111553200).

90020920 is an abundant number, since it is smaller than the sum of its proper divisors (133085480).

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

90020920 is a wasteful number, since it uses less digits than its factorization.

90020920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 90020920 is about 9487.9354972512. The cubic root of 90020920 is about 448.1751945536.

Adding to 90020920 its reverse (2902009), we get a palindrome (92922929).

The spelling of 90020920 in words is "ninety million, twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 1877 2180 2398 3754 4360 4796 5995 7508 9385 9592 11990 15016 18770 20647 23980 37540 41294 47960 75080 82588 103235 165176 204593 206470 409186 412940 818372 825880 1022965 1636744 2045930 2250523 4091860 4501046 8183720 9002092 11252615 18004184 22505230 45010460 90020920