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5724680 = 23513101109
BaseRepresentation
bin10101110101101000001000
3101202211210012
4111311220020
52431142210
6322411052
766442013
oct25655010
911684705
105724680
113260045
121b00a88
1312558b0
14a9037a
15781305
hex575a08

5724680 has 64 divisors (see below), whose sum is σ = 14137200. Its totient is φ = 2073600.

The previous prime is 5724679. The next prime is 5724683. The reversal of 5724680 is 864275.

It can be written as a sum of positive squares in 8 ways, for example, as 3587236 + 2137444 = 1894^2 + 1462^2 .

It is a super-2 number, since 2×57246802 = 65543922204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5724683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52466 + ... + 52574.

Almost surely, 25724680 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 5724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068600).

5724680 is an abundant number, since it is smaller than the sum of its proper divisors (8412520).

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

5724680 is a wasteful number, since it uses less digits than its factorization.

5724680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5724680 is about 2392.6303517259. The cubic root of 5724680 is about 178.8890420607.

The spelling of 5724680 in words is "five million, seven hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 109 130 202 218 260 404 436 505 520 545 808 872 1010 1090 1313 1417 2020 2180 2626 2834 4040 4360 5252 5668 6565 7085 10504 11009 11336 13130 14170 22018 26260 28340 44036 52520 55045 56680 88072 110090 143117 220180 286234 440360 572468 715585 1144936 1431170 2862340 5724680