Search a number
-
+
5814072 = 2333112447
BaseRepresentation
bin10110001011011100111000
3101221101102000
4112023130320
52442022242
6324341000
7100263435
oct26133470
911841360
105814072
113311220
121b44760
1312874a4
14ab4b8c
1579ca4c
hex58b738

5814072 has 64 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1761120.

The previous prime is 5814071. The next prime is 5814077. The reversal of 5814072 is 2704185.

5814072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 25814072 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 5814072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5814072 is an abundant number, since it is smaller than the sum of its proper divisors (11811528).

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

5814072 is a wasteful number, since it uses less digits than its factorization.

5814072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5814072 is about 2411.2386858210. The cubic root of 5814072 is about 179.8153662335.

The spelling of 5814072 in words is "five million, eight hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 2447 4894 7341 9788 14682 19576 22023 26917 29364 44046 53834 58728 66069 80751 88092 107668 132138 161502 176184 215336 242253 264276 323004 484506 528552 646008 726759 969012 1453518 1938024 2907036 5814072