Search a number
-
+
90756 = 22322521
BaseRepresentation
bin10110001010000100
311121111100
4112022010
510401011
61540100
7525411
oct261204
9147440
1090756
1162206
1244630
1332403
1425108
151bd56
hex16284

90756 has 18 divisors (see below), whose sum is σ = 229502. Its totient is φ = 30240.

The previous prime is 90749. The next prime is 90787. The reversal of 90756 is 65709.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 44100 = 216^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90756.

It is an unprimeable number.

90756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1225 + ... + 1296.

290756 is an apocalyptic number.

It is an amenable number.

90756 is an abundant number, since it is smaller than the sum of its proper divisors (138746).

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

90756 is a wasteful number, since it uses less digits than its factorization.

90756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90756 is about 301.2573650552. The cubic root of 90756 is about 44.9391770868.

The spelling of 90756 in words is "ninety thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2521 5042 7563 10084 15126 22689 30252 45378 90756