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90686144 = 2610313757
BaseRepresentation
bin1010110011111…
…00001011000000
320022122100000002
411121330023000
5141203424034
612555415132
72150551043
oct531741300
9208570002
1090686144
114720a92a
12264544a8
1315a32353
14c088c5a
157e64e7e
hex567c2c0

90686144 has 28 divisors (see below), whose sum is σ = 181715664. Its totient is φ = 44899584.

The previous prime is 90686119. The next prime is 90686153. The reversal of 90686144 is 44168609.

It is a junction number, because it is equal to n+sod(n) for n = 90686098 and 90686107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287 + ... + 13470.

Almost surely, 290686144 is an apocalyptic number.

It is an amenable number.

90686144 is an abundant number, since it is smaller than the sum of its proper divisors (91029520).

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

90686144 is a wasteful number, since it uses less digits than its factorization.

90686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 90686144 is about 9522.9272810413. The cubic root of 90686144 is about 449.2764404972.

The spelling of 90686144 in words is "ninety million, six hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 3296 6592 13757 27514 55028 110056 220112 440224 880448 1416971 2833942 5667884 11335768 22671536 45343072 90686144