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90682128 = 2432629737
BaseRepresentation
bin1010110011110…
…11001100010000
320022122010111100
411121323030100
5141203312003
612555344400
72150533245
oct531731420
9208563440
1090682128
1147207909
1226452100
1315a30584
14c0875cc
157e63ba3
hex567b310

90682128 has 30 divisors (see below), whose sum is σ = 253784414. Its totient is φ = 30227328.

The previous prime is 90682093. The next prime is 90682139. The reversal of 90682128 is 82128609.

It can be written as a sum of positive squares in only one way, i.e., 79067664 + 11614464 = 8892^2 + 3408^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90682092 and 90682101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 314725 + ... + 315012.

Almost surely, 290682128 is an apocalyptic number.

It is an amenable number.

90682128 is an abundant number, since it is smaller than the sum of its proper divisors (163102286).

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

90682128 is a wasteful number, since it uses less digits than its factorization.

90682128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629751 (or 629742 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90682128 is about 9522.7164191737. The cubic root of 90682128 is about 449.2698083895.

The spelling of 90682128 in words is "ninety million, six hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 629737 1259474 1889211 2518948 3778422 5037896 5667633 7556844 10075792 11335266 15113688 22670532 30227376 45341064 90682128