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92690 = 25132331
BaseRepresentation
bin10110101000010010
311201010222
4112220102
510431230
61553042
7534143
oct265022
9151128
1092690
1163704
1245782
1333260
1425aca
151c6e5
hex16a12

92690 has 32 divisors (see below), whose sum is σ = 193536. Its totient is φ = 31680.

The previous prime is 92683. The next prime is 92693. The reversal of 92690 is 9629.

It is a super-2 number, since 2×926902 = 17182872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92690.

It is not an unprimeable number, because it can be changed into a prime (92693) by changing a digit.

92690 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2975 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

292690 is an apocalyptic number.

92690 is an abundant number, since it is smaller than the sum of its proper divisors (100846).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

92690 is a wasteful number, since it uses less digits than its factorization.

92690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 92690 is about 304.4503243552. The cubic root of 92690 is about 45.2561523131.

The spelling of 92690 in words is "ninety-two thousand, six hundred ninety".

Divisors: 1 2 5 10 13 23 26 31 46 62 65 115 130 155 230 299 310 403 598 713 806 1426 1495 2015 2990 3565 4030 7130 9269 18538 46345 92690