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90246240 = 25325721279
BaseRepresentation
bin1010110000100…
…00110001100000
320021210222120100
411120100301200
5141100334430
612542142400
72144036400
oct530206140
9207728510
1090246240
1146a3a377
1226281a00
131590a056
14bdb2800
157dc9960
hex5610c60

90246240 has 216 divisors, whose sum is σ = 358525440. Its totient is φ = 20611584.

The previous prime is 90246199. The next prime is 90246263. The reversal of 90246240 is 4264209.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69921 + ... + 71199.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 290246240 is an apocalyptic number.

90246240 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 90246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

90246240 is an abundant number, since it is smaller than the sum of its proper divisors (268279200).

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

90246240 is a wasteful number, since it uses less digits than its factorization.

90246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90246240 is about 9499.8021032019. The cubic root of 90246240 is about 448.5488065960.

The spelling of 90246240 in words is "ninety million, two hundred forty-six thousand, two hundred forty".