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5696640 = 273252343
BaseRepresentation
bin10101101110110010000000
3101201102022200
4111232302000
52424243030
6322033200
766264165
oct25566200
911642280
105696640
113240a74
121aa8800
131245bc1
14a8406c
15777d60
hex56ec80

5696640 has 192 divisors, whose sum is σ = 21003840. Its totient is φ = 1419264.

The previous prime is 5696633. The next prime is 5696641. The reversal of 5696640 is 466965.

It is a happy number.

5696640 is a `hidden beast` number, since 5 + 6 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5696595 and 5696604.

It is not an unprimeable number, because it can be changed into a prime (5696641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132459 + ... + 132501.

It is an arithmetic number, because the mean of its divisors is an integer number (109395).

Almost surely, 25696640 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 5696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501920).

5696640 is an abundant number, since it is smaller than the sum of its proper divisors (15307200).

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

5696640 is a wasteful number, since it uses less digits than its factorization.

5696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5696640 is about 2386.7634989667. The cubic root of 5696640 is about 178.5964923296.

It can be divided in two parts, 5696 and 640, that added together give a palindrome (6336).

The spelling of 5696640 in words is "five million, six hundred ninety-six thousand, six hundred forty".