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5830480 = 245312351
BaseRepresentation
bin10110001111011101010000
3101222012220201
4112033131100
52443033410
6324544544
7100362325
oct26173520
911865821
105830480
113322587
121b52154
131291ab6
14abab4c
157a283a
hex58f750

5830480 has 40 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 2256000.

The previous prime is 5830459. The next prime is 5830483. The reversal of 5830480 is 840385.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 3655.

Almost surely, 25830480 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 5830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

5830480 is an abundant number, since it is smaller than the sum of its proper divisors (8168624).

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

5830480 is a wasteful number, since it uses less digits than its factorization.

5830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5830480 is about 2414.6386893281. The cubic root of 5830480 is about 179.9843607812.

The spelling of 5830480 in words is "five million, eight hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2351 2480 4702 9404 11755 18808 23510 37616 47020 72881 94040 145762 188080 291524 364405 583048 728810 1166096 1457620 2915240 5830480