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90687681 = 347273313
BaseRepresentation
bin1010110011111…
…00100011000001
320022122102010000
411121330203001
5141204001211
612555430213
72150555400
oct531744301
9208572100
1090687681
1147210aa7
1226455369
1315a32c66
14c089637
157e65656
hex567c8c1

90687681 has 60 divisors (see below), whose sum is σ = 160258692. Its totient is φ = 50948352.

The previous prime is 90687607. The next prime is 90687691. The reversal of 90687681 is 18678609.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 72335025 = 4284^2 + 8505^2 .

It is not a de Polignac number, because 90687681 - 218 = 90425537 is a prime.

It is a super-2 number, since 2×906876812 = 16448510970315522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90687601) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 289581 + ... + 289893.

Almost surely, 290687681 is an apocalyptic number.

It is an amenable number.

90687681 is a deficient number, since it is larger than the sum of its proper divisors (69571011).

90687681 is a wasteful number, since it uses less digits than its factorization.

90687681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90687681 is about 9523.0079806750. The cubic root of 90687681 is about 449.2789786798.

The spelling of 90687681 in words is "ninety million, six hundred eighty-seven thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 73 81 147 189 219 313 441 511 567 657 939 1323 1533 1971 2191 2817 3577 3969 4599 5913 6573 8451 10731 13797 15337 19719 22849 25353 32193 41391 46011 59157 68547 96579 138033 159943 177471 205641 289737 414099 479829 616923 1119601 1242297 1439487 1850769 3358803 4318461 10076409 12955383 30229227 90687681