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5688640 = 26529613
BaseRepresentation
bin10101101100110101000000
3101201000100101
4111230311000
52424014030
6321532144
766231646
oct25546500
911630311
105688640
113235a61
121aa4054
131242379
14a81196
157757ca
hex56cd40

5688640 has 56 divisors (see below), whose sum is σ = 14036040. Its totient is φ = 2193408.

The previous prime is 5688607. The next prime is 5688653. The reversal of 5688640 is 468865.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 5683456 = 72^2 + 2384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5688640.

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, 8974 + ... + 9586.

Almost surely, 25688640 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 5688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018020).

5688640 is an abundant number, since it is smaller than the sum of its proper divisors (8347400).

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

5688640 is a wasteful number, since it uses less digits than its factorization.

5688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 5688640 is about 2385.0870005096. The cubic root of 5688640 is about 178.5128499669.

It can be divided in two parts, 5688 and 640, that added together give a triangular number (6328 = T112).

The spelling of 5688640 in words is "five million, six hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 613 928 1160 1226 1856 2320 2452 3065 4640 4904 6130 9280 9808 12260 17777 19616 24520 35554 39232 49040 71108 88885 98080 142216 177770 196160 284432 355540 568864 711080 1137728 1422160 2844320 5688640