[go: up one dir, main page]

Search a number
-
+
5304011420 = 2253714095087
BaseRepresentation
bin1001111000010010…
…01100101010011100
3111200122102200211102
410330021030222130
541330311331140
62234151212232
7245303232101
oct47411145234
914618380742
105304011420
112281a81314
121040377078
13666b324c6
143845daaa8
152109a8e15
hex13c24ca9c

5304011420 has 48 divisors (see below), whose sum is σ = 11449831680. Its totient is φ = 2062393344.

The previous prime is 5304011413. The next prime is 5304011473. The reversal of 5304011420 is 241104035.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5304011392 and 5304011401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040117 + ... + 1045203.

It is an arithmetic number, because the mean of its divisors is an integer number (238538160).

Almost surely, 25304011420 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 5304011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724915840).

5304011420 is an abundant number, since it is smaller than the sum of its proper divisors (6145820260).

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

5304011420 is a wasteful number, since it uses less digits than its factorization.

5304011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5304011420 is about 72828.6442273917. The cubic root of 5304011420 is about 1743.9531623191.

Adding to 5304011420 its reverse (241104035), we get a palindrome (5545115455).

The spelling of 5304011420 in words is "five billion, three hundred four million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1409 2818 5087 5636 7045 10174 14090 20348 25435 28180 50870 52133 101740 104266 188219 208532 260665 376438 521330 752876 941095 1042660 1882190 3764380 7167583 14335166 28670332 35837915 71675830 143351660 265200571 530401142 1060802284 1326002855 2652005710 5304011420