Search a number
-
+
5712144 = 243592017
BaseRepresentation
bin10101110010100100010000
3101202012120220
4111302210100
52430242034
6322233040
766360324
oct25624420
911665526
105712144
113251689
121ab5780
13124cc89
14a89984
1577c749
hex572910

5712144 has 40 divisors (see below), whose sum is σ = 15013920. Its totient is φ = 1870848.

The previous prime is 5712139. The next prime is 5712149. The reversal of 5712144 is 4412175.

It is an interprime number because it is at equal distance from previous prime (5712139) and next prime (5712149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5712149) 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, 1824 + ... + 3840.

It is an arithmetic number, because the mean of its divisors is an integer number (375348).

Almost surely, 25712144 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 5712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506960).

5712144 is an abundant number, since it is smaller than the sum of its proper divisors (9301776).

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

5712144 is a wasteful number, since it uses less digits than its factorization.

5712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 5712144 is about 2390.0092050032. The cubic root of 5712144 is about 178.7583685586.

The spelling of 5712144 in words is "five million, seven hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2017 2832 4034 6051 8068 12102 16136 24204 32272 48408 96816 119003 238006 357009 476012 714018 952024 1428036 1904048 2856072 5712144