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5746640 = 245292477
BaseRepresentation
bin10101111010111111010000
3101210221220112
4111322333100
52432343030
6323100452
766563024
oct25727720
911727815
105746640
113275599
121b11728
1312628a3
14a98384
15787a95
hex57afd0

5746640 has 40 divisors (see below), whose sum is σ = 13827240. Its totient is φ = 2218496.

The previous prime is 5746639. The next prime is 5746651. The reversal of 5746640 is 466475.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 5125696 = 788^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5746597 and 5746606.

It is a congruent number.

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, 1082 + ... + 3558.

It is an arithmetic number, because the mean of its divisors is an integer number (345681).

Almost surely, 25746640 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 5746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913620).

5746640 is an abundant number, since it is smaller than the sum of its proper divisors (8080600).

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

5746640 is a wasteful number, since it uses less digits than its factorization.

5746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 5746640 is about 2397.2150508455. The cubic root of 5746640 is about 179.1174909809.

The spelling of 5746640 in words is "five million, seven hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2477 4954 9908 12385 19816 24770 39632 49540 71833 99080 143666 198160 287332 359165 574664 718330 1149328 1436660 2873320 5746640