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5616640 = 21051097
BaseRepresentation
bin10101011011010000000000
3101120100120201
4111123100000
52414213030
6320214544
765512021
oct25332000
911510521
105616640
113196957
121a6a454
131218673
14a62c48
1575e2ca
hex55b400

5616640 has 44 divisors (see below), whose sum is σ = 13485636. Its totient is φ = 2244608.

The previous prime is 5616629. The next prime is 5616643. The reversal of 5616640 is 466165.

5616640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 3810304 = 1344^2 + 1952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5616599 and 5616608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5616643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4572 + ... + 5668.

Almost surely, 25616640 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 5616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742818).

5616640 is an abundant number, since it is smaller than the sum of its proper divisors (7868996).

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

5616640 is a wasteful number, since it uses less digits than its factorization.

5616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5616640 is about 2369.9451470445. The cubic root of 5616640 is about 177.7565159758.

The spelling of 5616640 in words is "five million, six hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1097 1280 2194 2560 4388 5120 5485 8776 10970 17552 21940 35104 43880 70208 87760 140416 175520 280832 351040 561664 702080 1123328 1404160 2808320 5616640