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5692960 = 2557131723
BaseRepresentation
bin10101101101111000100000
3101201020021101
4111231320200
52424133320
6322004144
766250360
oct25557040
911636241
105692960
113239229
121aa6654
131244320
14a829a0
15776c0a
hex56de20

5692960 has 192 divisors, whose sum is σ = 18289152. Its totient is φ = 1622016.

The previous prime is 5692957. The next prime is 5692963. The reversal of 5692960 is 692965.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5692957) and next prime (5692963).

It is a super-3 number, since 3×56929603 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5692963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247509 + ... + 247531.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

Almost surely, 25692960 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 5692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576).

5692960 is an abundant number, since it is smaller than the sum of its proper divisors (12596192).

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

5692960 is a wasteful number, since it uses less digits than its factorization.

5692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 5692960 is about 2385.9924559814. The cubic root of 5692960 is about 178.5580265751.

The spelling of 5692960 in words is "five million, six hundred ninety-two thousand, nine hundred sixty".