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5645640 = 23357111347
BaseRepresentation
bin10101100010010101001000
3101121211100210
4111202111020
52421130030
6321001120
765662410
oct25422510
911554323
105645640
113206720
121a831a0
131228920
14a6d640
15767bb0
hex562548

5645640 has 256 divisors, whose sum is σ = 23224320. Its totient is φ = 1059840.

The previous prime is 5645639. The next prime is 5645657. The reversal of 5645640 is 465465.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5645598 and 5645607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120097 + ... + 120143.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 25645640 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 5645640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

5645640 is an abundant number, since it is smaller than the sum of its proper divisors (17578680).

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

5645640 is a wasteful number, since it uses less digits than its factorization.

5645640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5645640 is about 2376.0555549061. The cubic root of 5645640 is about 178.0619234959.

The spelling of 5645640 in words is "five million, six hundred forty-five thousand, six hundred forty".