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90636960 = 2535188827
BaseRepresentation
bin1010110011100…
…00001010100000
320022112211112110
411121300022200
5141200340320
612554355320
72150254461
oct531601240
9208484473
1090636960
1147186987
122642bb40
1315a15b4b
14c074d68
157e555e0
hex56702a0

90636960 has 48 divisors (see below), whose sum is σ = 285507936. Its totient is φ = 24169728.

The previous prime is 90636941. The next prime is 90636983. The reversal of 90636960 is 6963609.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93934 + ... + 94893.

It is an arithmetic number, because the mean of its divisors is an integer number (5948082).

Almost surely, 290636960 is an apocalyptic number.

It is an amenable number.

90636960 is an abundant number, since it is smaller than the sum of its proper divisors (194870976).

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

90636960 is a wasteful number, since it uses less digits than its factorization.

90636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188845 (or 188837 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 90636960 is about 9520.3445315808. The cubic root of 90636960 is about 449.1952035058.

The spelling of 90636960 in words is "ninety million, six hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 188827 377654 566481 755308 944135 1132962 1510616 1888270 2265924 2832405 3021232 3776540 4531848 5664810 6042464 7553080 9063696 11329620 15106160 18127392 22659240 30212320 45318480 90636960