Search a number
-
+
90820512 = 2532315349
BaseRepresentation
bin1010110100111…
…00111110100000
320022220011022200
411122130332200
5141222224022
613002333200
72151650556
oct532347640
9208804280
1090820512
11472a1882
12264ba200
1315a7b563
14c0c1bd6
157e8ebac
hex569cfa0

90820512 has 36 divisors (see below), whose sum is σ = 258271650. Its totient is φ = 30273408.

The previous prime is 90820493. The next prime is 90820523. The reversal of 90820512 is 21502809.

It can be written as a sum of positive squares in only one way, i.e., 90554256 + 266256 = 9516^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157387 + ... + 157962.

Almost surely, 290820512 is an apocalyptic number.

It is an amenable number.

90820512 is an abundant number, since it is smaller than the sum of its proper divisors (167451138).

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

90820512 is a wasteful number, since it uses less digits than its factorization.

90820512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315365 (or 315354 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90820512 is about 9529.9796432102. The cubic root of 90820512 is about 449.4982258881.

The spelling of 90820512 in words is "ninety million, eight hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 315349 630698 946047 1261396 1892094 2522792 2838141 3784188 5045584 5676282 7568376 10091168 11352564 15136752 22705128 30273504 45410256 90820512