Search a number
-
+
4040720 = 24553953
BaseRepresentation
bin1111011010100000010000
321121021211022
433122200100
52013300340
6222335012
746226345
oct17324020
97537738
104040720
11230a942
12142a468
13ab6278
147727cc
1554c3b5
hex3da810

4040720 has 40 divisors (see below), whose sum is σ = 9581976. Its totient is φ = 1584128.

The previous prime is 4040719. The next prime is 4040723. The reversal of 4040720 is 270404.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 3444736 = 772^2 + 1856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4040723) 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, 3764 + ... + 4716.

Almost surely, 24040720 is an apocalyptic number.

4040720 is a gapful number since it is divisible by the number (40) 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 4040720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790988).

4040720 is an abundant number, since it is smaller than the sum of its proper divisors (5541256).

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

4040720 is a wasteful number, since it uses less digits than its factorization.

4040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 4040720 is about 2010.1542229391. The cubic root of 4040720 is about 159.2769457085.

The spelling of 4040720 in words is "four million, forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 953 1060 1906 2120 3812 4240 4765 7624 9530 15248 19060 38120 50509 76240 101018 202036 252545 404072 505090 808144 1010180 2020360 4040720