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90383040 = 2634511317
BaseRepresentation
bin1010110001100…
…10001011000000
320022001221020000
411120302023000
5141114224130
612545120000
72145146256
oct530621300
9208057200
1090383040
1147023130
1226329000
13159573b7
14c00a5d6
157e05260
hex56322c0

90383040 has 280 divisors, whose sum is σ = 351842832. Its totient is φ = 21841920.

The previous prime is 90383039. The next prime is 90383081. The reversal of 90383040 is 4038309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90382995 and 90383013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284962 + ... + 285278.

Almost surely, 290383040 is an apocalyptic number.

90383040 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 90383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175921416).

90383040 is an abundant number, since it is smaller than the sum of its proper divisors (261459792).

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

90383040 is a wasteful number, since it uses less digits than its factorization.

90383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90383040 is about 9506.9995266646. Note that the first 3 decimals coincide. The cubic root of 90383040 is about 448.7753368013.

The spelling of 90383040 in words is "ninety million, three hundred eighty-three thousand, forty".