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90637056 = 28353147
BaseRepresentation
bin1010110011100…
…00001100000000
320022112211200000
411121300030000
5141200341211
612554400000
72150254656
oct531601400
9208484600
1090637056
1147186a64
1226430000
1315a15bc3
14c074dd6
157e55656
hex5670300

90637056 has 216 divisors, whose sum is σ = 285702144. Its totient is φ = 28615680.

The previous prime is 90637051. The next prime is 90637061. The reversal of 90637056 is 65073609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90637051) and next prime (90637061).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90637056.

It is not an unprimeable number, because it can be changed into a prime (90637051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928425 + ... + 1928471.

Almost surely, 290637056 is an apocalyptic number.

90637056 is a gapful number since it is divisible by the number (96) 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 90637056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142851072).

90637056 is an abundant number, since it is smaller than the sum of its proper divisors (195065088).

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

90637056 is an equidigital number, since it uses as much as digits as its factorization.

90637056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 90637056 is about 9520.3495734138. The cubic root of 90637056 is about 449.1953620972.

The spelling of 90637056 in words is "ninety million, six hundred thirty-seven thousand, fifty-six".