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5316960 = 2535111953
BaseRepresentation
bin10100010010000101100000
3101000010111110
4110102011200
52330120320
6305543320
763123225
oct24220540
911003443
105316960
113001790
121944b40
13114213c
149c594c
157005e0
hex512160

5316960 has 192 divisors, whose sum is σ = 19595520. Its totient is φ = 1198080.

The previous prime is 5316959. The next prime is 5316973. The reversal of 5316960 is 696135.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100294 + ... + 100346.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 25316960 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 5316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

5316960 is an abundant number, since it is smaller than the sum of its proper divisors (14278560).

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

5316960 is a wasteful number, since it uses less digits than its factorization.

5316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 5316960 is about 2305.8534211870. The cubic root of 5316960 is about 174.5371168681.

The spelling of 5316960 in words is "five million, three hundred sixteen thousand, nine hundred sixty".