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5659040 = 255113313
BaseRepresentation
bin10101100101100110100000
3101122111202002
4111211212200
52422042130
6321143132
766046442
oct25454640
911574662
105659040
1132157a2
121a8aaa8
131231a5a
14a74492
1576bb45
hex5659a0

5659040 has 48 divisors (see below), whose sum is σ = 13530888. Its totient is φ = 2236416.

The previous prime is 5659037. The next prime is 5659051. The reversal of 5659040 is 409565.

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 4682896 = 988^2 + 2164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5658994 and 5659012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17924 + ... + 18236.

Almost surely, 25659040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765444).

5659040 is an abundant number, since it is smaller than the sum of its proper divisors (7871848).

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

5659040 is a wasteful number, since it uses less digits than its factorization.

5659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 5659040 is about 2378.8736830694. The cubic root of 5659040 is about 178.2026896152.

It can be divided in two parts, 565 and 9040, that multiplied together give a square (5107600 = 22602).

The spelling of 5659040 in words is "five million, six hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 313 452 565 626 904 1130 1252 1565 1808 2260 2504 3130 3616 4520 5008 6260 9040 10016 12520 18080 25040 35369 50080 70738 141476 176845 282952 353690 565904 707380 1131808 1414760 2829520 5659040