Search a number
-
+
90198760 = 2352254969
BaseRepresentation
bin1010110000001…
…01001011101000
320021201120102211
411120011023220
5141042330020
612541134504
72143451101
oct530051350
9207646384
1090198760
1146a07733
122625a434
13158c1562
14bd9d3a8
157dba85a
hex56052e8

90198760 has 16 divisors (see below), whose sum is σ = 202947300. Its totient is φ = 36079488.

The previous prime is 90198737. The next prime is 90198763. The reversal of 90198760 is 6789109.

It can be written as a sum of positive squares in 2 ways, for example, as 73925604 + 16273156 = 8598^2 + 4034^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2254969 = 90198760 / (9 + 0 + 1 + 9 + 8 + 7 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (90198763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1127445 + ... + 1127524.

Almost surely, 290198760 is an apocalyptic number.

It is an amenable number.

90198760 is an abundant number, since it is smaller than the sum of its proper divisors (112748540).

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

90198760 is a wasteful number, since it uses less digits than its factorization.

90198760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254980 (or 2254976 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 90198760 is about 9497.3027749988. The cubic root of 90198760 is about 448.4701298801.

The spelling of 90198760 in words is "ninety million, one hundred ninety-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2254969 4509938 9019876 11274845 18039752 22549690 45099380 90198760