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90632420 = 22523732699
BaseRepresentation
bin1010110011011…
…11000011100100
320022112121022022
411121233003210
5141200214140
612554322312
72150235314
oct531570344
9208477268
1090632420
114718352a
1226429398
1315a13a68
14c073444
157e540b5
hex566f0e4

90632420 has 48 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 34189056.

The previous prime is 90632419. The next prime is 90632429. The reversal of 90632420 is 2423609.

It is a self number, because there is not a number n which added to its sum of digits gives 90632420.

It is not an unprimeable number, because it can be changed into a prime (90632429) 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, 32231 + ... + 34929.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 290632420 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 90632420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

90632420 is an abundant number, since it is smaller than the sum of its proper divisors (110765980).

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

90632420 is a wasteful number, since it uses less digits than its factorization.

90632420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 90632420 is about 9520.1060918458. The cubic root of 90632420 is about 449.1877033268.

The spelling of 90632420 in words is "ninety million, six hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1679 2699 3358 5398 6716 8395 10796 13495 16790 26990 33580 53980 62077 124154 197027 248308 310385 394054 620770 788108 985135 1241540 1970270 3940540 4531621 9063242 18126484 22658105 45316210 90632420