Search a number
-
+
5328090 = 2325531117
BaseRepresentation
bin10100010100110011011010
3101000200202200
4110110303122
52330444330
6310111030
763200535
oct24246332
911020680
105328090
11300a089
12194b476
131147221
149c9a1c
15703a60
hex514cda

5328090 has 48 divisors (see below), whose sum is σ = 14127048. Its totient is φ = 1392768.

The previous prime is 5328079. The next prime is 5328101. The reversal of 5328090 is 908235.

It is an interprime number because it is at equal distance from previous prime (5328079) and next prime (5328101).

It can be written as a sum of positive squares in 4 ways, for example, as 3448449 + 1879641 = 1857^2 + 1371^2 .

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4212 + ... + 5328.

Almost surely, 25328090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063524).

5328090 is an abundant number, since it is smaller than the sum of its proper divisors (8798958).

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

5328090 is a wasteful number, since it uses less digits than its factorization.

5328090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5328090 is about 2308.2655826399. The cubic root of 5328090 is about 174.6588182541.

The spelling of 5328090 in words is "five million, three hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1117 1590 2234 2385 3351 4770 5585 6702 10053 11170 16755 20106 33510 50265 59201 100530 118402 177603 296005 355206 532809 592010 888015 1065618 1776030 2664045 5328090