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90450360 = 2332571113251
BaseRepresentation
bin1010110010000…
…10100110111000
320022012100120100
411121002212320
5141123402420
612550355400
72145546450
oct531024670
9208170510
1090450360
1147069770
122635bb60
131597bc30
14c026d60
157e1a190
hex56429b8

90450360 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 17280000.

The previous prime is 90450341. The next prime is 90450389. The reversal of 90450360 is 6305409.

It is a happy number.

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, 360235 + ... + 360485.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 290450360 is an apocalyptic number.

90450360 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 90450360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

90450360 is an abundant number, since it is smaller than the sum of its proper divisors (305814600).

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

90450360 is a wasteful number, since it uses less digits than its factorization.

90450360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90450360 is about 9510.5394168785. The cubic root of 90450360 is about 448.8867295949.

Adding to 90450360 its reverse (6305409), we get a palindrome (96755769).

The spelling of 90450360 in words is "ninety million, four hundred fifty thousand, three hundred sixty".