Search a number
-
+
90185761 = 1937128287
BaseRepresentation
bin1010110000000…
…10000000100001
320021200220121101
411120002000201
5141041421021
612540554401
72143365151
oct530020041
9207626541
1090185761
11469a8996
1226252a01
13158b8673
14bd98761
157db6a91
hex5602021

90185761 has 8 divisors (see below), whose sum is σ = 97498880. Its totient is φ = 83129328.

The previous prime is 90185759. The next prime is 90185803. The reversal of 90185761 is 16758109.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90185761 - 21 = 90185759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 90185761.

It is not an unprimeable number, because it can be changed into a prime (90185741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63441 + ... + 64846.

It is an arithmetic number, because the mean of its divisors is an integer number (12187360).

Almost surely, 290185761 is an apocalyptic number.

It is an amenable number.

90185761 is a deficient number, since it is larger than the sum of its proper divisors (7313119).

90185761 is a wasteful number, since it uses less digits than its factorization.

90185761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128343.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 90185761 is about 9496.6183981457. The cubic root of 90185761 is about 448.4485850781.

The spelling of 90185761 in words is "ninety million, one hundred eighty-five thousand, seven hundred sixty-one".

Divisors: 1 19 37 703 128287 2437453 4746619 90185761