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5692640 = 25547757
BaseRepresentation
bin10101101101110011100000
3101201012211112
4111231303200
52424131030
6322002452
766246422
oct25556340
911635745
105692640
113238a68
121aa6428
131244135
14a82812
15776a95
hex56dce0

5692640 has 48 divisors (see below), whose sum is σ = 13753152. Its totient is φ = 2225664.

The previous prime is 5692633. The next prime is 5692649. The reversal of 5692640 is 462965.

5692640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5692597 and 5692606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5692649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7142 + ... + 7898.

It is an arithmetic number, because the mean of its divisors is an integer number (286524).

Almost surely, 25692640 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 5692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876576).

5692640 is an abundant number, since it is smaller than the sum of its proper divisors (8060512).

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

5692640 is a wasteful number, since it uses less digits than its factorization.

5692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5692640 is about 2385.9253969896. The cubic root of 5692640 is about 178.5546809436.

The spelling of 5692640 in words is "five million, six hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 757 940 1504 1514 1880 3028 3760 3785 6056 7520 7570 12112 15140 24224 30280 35579 60560 71158 121120 142316 177895 284632 355790 569264 711580 1138528 1423160 2846320 5692640