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90810460 = 22513267401
BaseRepresentation
bin1010110100110…
…10100001011100
320022212122112101
411122122201130
5141221413320
613002214444
72151606346
oct532324134
9208778471
1090810460
1147295274
12264b4424
1315a76b00
14c0bc296
157e8bc0a
hex569a85c

90810460 has 72 divisors (see below), whose sum is σ = 210104496. Its totient is φ = 32947200.

The previous prime is 90810457. The next prime is 90810493. The reversal of 90810460 is 6401809.

It is a congruent number.

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, 226260 + ... + 226660.

It is an arithmetic number, because the mean of its divisors is an integer number (2918118).

Almost surely, 290810460 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 90810460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105052248).

90810460 is an abundant number, since it is smaller than the sum of its proper divisors (119294036).

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

90810460 is a wasteful number, since it uses less digits than its factorization.

90810460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90810460 is about 9529.4522402917. The cubic root of 90810460 is about 449.4816418119.

The spelling of 90810460 in words is "ninety million, eight hundred ten thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 169 260 268 335 338 401 670 676 802 845 871 1340 1604 1690 1742 2005 3380 3484 4010 4355 5213 8020 8710 10426 11323 17420 20852 22646 26065 26867 45292 52130 53734 56615 67769 104260 107468 113230 134335 135538 226460 268670 271076 338845 349271 537340 677690 698542 1355380 1397084 1746355 3492710 4540523 6985420 9081046 18162092 22702615 45405230 90810460