Search a number
-
+
5791400 = 2352231259
BaseRepresentation
bin10110000101111010101000
3101220020022022
4112011322220
52440311100
6324044012
7100140356
oct26057250
911806268
105791400
1132a618a
121b33608
13127a084
14aaa7d6
15795e85
hex585ea8

5791400 has 48 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 2214080.

The previous prime is 5791397. The next prime is 5791403. The reversal of 5791400 is 41975.

It is an interprime number because it is at equal distance from previous prime (5791397) and next prime (5791403).

It is a self number, because there is not a number n which added to its sum of digits gives 5791400.

It is not an unprimeable number, because it can be changed into a prime (5791403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3971 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 25791400 is an apocalyptic number.

5791400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5791400 is an abundant number, since it is smaller than the sum of its proper divisors (8270200).

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

5791400 is a wasteful number, since it uses less digits than its factorization.

5791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 5791400 is about 2406.5327755923. The cubic root of 5791400 is about 179.5813314855.

The spelling of 5791400 in words is "five million, seven hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1259 2300 2518 4600 5036 6295 10072 12590 25180 28957 31475 50360 57914 62950 115828 125900 144785 231656 251800 289570 579140 723925 1158280 1447850 2895700 5791400