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5840640 = 28335132
BaseRepresentation
bin10110010001111100000000
3101222201212000
4112101330000
52443400030
6325104000
7100434051
oct26217400
911881760
105840640
11332a183
121b58000
131296600
14ac0728
157a5860
hex591f00

5840640 has 216 divisors, whose sum is σ = 22443120. Its totient is φ = 1437696.

The previous prime is 5840633. The next prime is 5840663. The reversal of 5840640 is 460485.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×58406402 = 68226151219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449274 + ... + 449286.

Almost surely, 25840640 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 5840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221560).

5840640 is an abundant number, since it is smaller than the sum of its proper divisors (16602480).

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

5840640 is a wasteful number, since it uses less digits than its factorization.

5840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5840640 is about 2416.7416080334. The cubic root of 5840640 is about 180.0888450292.

Multiplying 5840640 by its product of nonzero digits (3840), we get a square (22428057600 = 1497602).

5840640 divided by its product of nonzero digits (3840) gives a square (1521 = 392).

The spelling of 5840640 in words is "five million, eight hundred forty thousand, six hundred forty".