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90932490 = 233511171801
BaseRepresentation
bin1010110101110…
…00010100001010
320100002211221000
411122320110022
5141234314430
613004555430
72152625205
oct532702412
9210084830
1090932490
1147368a20
1226552b76
1315aba50c
14c11093c
157eb2e60
hex56b850a

90932490 has 128 divisors (see below), whose sum is σ = 280247040. Its totient is φ = 20736000.

The previous prime is 90932449. The next prime is 90932519. The reversal of 90932490 is 9423909.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49590 + ... + 51390.

It is an arithmetic number, because the mean of its divisors is an integer number (2189430).

Almost surely, 290932490 is an apocalyptic number.

90932490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90932490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140123520).

90932490 is an abundant number, since it is smaller than the sum of its proper divisors (189314550).

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

90932490 is a wasteful number, since it uses less digits than its factorization.

90932490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 90932490 is about 9535.8528721872. The cubic root of 90932490 is about 449.6828876965.

The spelling of 90932490 in words is "ninety million, nine hundred thirty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1801 1870 2295 2805 2970 3366 3602 4590 5049 5403 5610 8415 9005 10098 10806 16209 16830 18010 19811 25245 27015 30617 32418 39622 48627 50490 54030 59433 61234 81045 91851 97254 99055 118866 153085 162090 178299 183702 198110 243135 275553 297165 306170 336787 356598 459255 486270 534897 551106 594330 673574 826659 891495 918510 1010361 1069794 1377765 1653318 1683935 1782990 2020722 2674485 2755530 3031083 3367870 4133295 5051805 5348970 6062166 8266590 9093249 10103610 15155415 18186498 30310830 45466245 90932490