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90040860 = 2232571323239
BaseRepresentation
bin1010101110111…
…10101000011100
320021102112211200
411113132220130
5141022301420
612533515500
72142222540
oct527365034
9207375750
1090040860
114690a038
12261a2b90
1315867720
14bd5ba20
157d88b90
hex55dea1c

90040860 has 288 divisors, whose sum is σ = 352235520. Its totient is φ = 18095616.

The previous prime is 90040813. The next prime is 90040871. The reversal of 90040860 is 6804009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376621 + ... + 376859.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 290040860 is an apocalyptic number.

90040860 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90040860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

90040860 is an abundant number, since it is smaller than the sum of its proper divisors (262194660).

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

90040860 is a wasteful number, since it uses less digits than its factorization.

90040860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90040860 is about 9488.9862472237. The cubic root of 90040860 is about 448.2082829869.

Adding to 90040860 its reverse (6804009), we get a palindrome (96844869).

The spelling of 90040860 in words is "ninety million, forty thousand, eight hundred sixty".