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5664090 = 235192523
BaseRepresentation
bin10101100110110101011010
3101122202200010
4111212311122
52422222330
6321222350
766100245
oct25466532
911582603
105664090
113219573
121a919b6
131234143
14a7625c
1576d3b0
hex566d5a

5664090 has 48 divisors (see below), whose sum is σ = 14374368. Its totient is φ = 1428192.

The previous prime is 5664083. The next prime is 5664091. The reversal of 5664090 is 904665.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5664091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10569 + ... + 11091.

It is an arithmetic number, because the mean of its divisors is an integer number (299466).

Almost surely, 25664090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187184).

5664090 is an abundant number, since it is smaller than the sum of its proper divisors (8710278).

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

5664090 is a wasteful number, since it uses less digits than its factorization.

5664090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5664090 is about 2379.9348730585. The cubic root of 5664090 is about 178.2556818792.

It can be divided in two parts, 566 and 4090, that added together give a triangular number (4656 = T96).

The spelling of 5664090 in words is "five million, six hundred sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 523 570 722 1046 1083 1569 1805 2166 2615 3138 3610 5230 5415 7845 9937 10830 15690 19874 29811 49685 59622 99370 149055 188803 298110 377606 566409 944015 1132818 1888030 2832045 5664090