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5744640 = 211351117
BaseRepresentation
bin10101111010100000000000
3101210212011110
4111322200000
52432312030
6323043320
766554136
oct25724000
911725143
105744640
113274040
121b10540
1312619c5
14a97756
157871b0
hex57a800

5744640 has 192 divisors, whose sum is σ = 21228480. Its totient is φ = 1310720.

The previous prime is 5744621. The next prime is 5744659. The reversal of 5744640 is 464475.

It is an interprime number because it is at equal distance from previous prime (5744621) and next prime (5744659).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5744598 and 5744607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337912 + ... + 337928.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 25744640 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 5744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

5744640 is an abundant number, since it is smaller than the sum of its proper divisors (15483840).

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

5744640 is a wasteful number, since it uses less digits than its factorization.

5744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 5744640 is about 2396.7978638175. The cubic root of 5744640 is about 179.0967091821.

The spelling of 5744640 in words is "five million, seven hundred forty-four thousand, six hundred forty".