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5820192 = 253272887
BaseRepresentation
bin10110001100111100100000
3101221200210200
4112030330200
52442221232
6324425200
7100320330
oct26147440
911850720
105820192
113315884
121b48200
13128a201
14ab70c0
1579e77c
hex58cf20

5820192 has 72 divisors (see below), whose sum is σ = 18922176. Its totient is φ = 1662336.

The previous prime is 5820187. The next prime is 5820197. The reversal of 5820192 is 2910285.

It is an interprime number because it is at equal distance from previous prime (5820187) and next prime (5820197).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5820197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573 + ... + 3459.

It is an arithmetic number, because the mean of its divisors is an integer number (262808).

Almost surely, 25820192 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 5820192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461088).

5820192 is an abundant number, since it is smaller than the sum of its proper divisors (13101984).

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

5820192 is a wasteful number, since it uses less digits than its factorization.

5820192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5820192 is about 2412.5074093150. The cubic root of 5820192 is about 179.8784364387.

The spelling of 5820192 in words is "five million, eight hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2887 5774 8661 11548 17322 20209 23096 25983 34644 40418 46192 51966 60627 69288 80836 92384 103932 121254 138576 161672 181881 207864 242508 277152 323344 363762 415728 485016 646688 727524 831456 970032 1455048 1940064 2910096 5820192