[go: up one dir, main page]

Search a number
-
+
5438420 = 2251321609
BaseRepresentation
bin10100101111101111010100
3101020022002222
4110233233110
52343012140
6312321512
764140311
oct24575724
911208088
105438420
113084a69
1219a3298
131185500
14a17d08
157265b5
hex52fbd4

5438420 has 36 divisors (see below), whose sum is σ = 12374460. Its totient is φ = 2006784.

The previous prime is 5438401. The next prime is 5438429. The reversal of 5438420 is 248345.

5438420 = T270 + T271 + ... + T373.

5438420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 111556 + 5326864 = 334^2 + 2308^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5438420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438429) 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, 2576 + ... + 4184.

It is an arithmetic number, because the mean of its divisors is an integer number (343735).

Almost surely, 25438420 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 5438420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187230).

5438420 is an abundant number, since it is smaller than the sum of its proper divisors (6936040).

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

5438420 is a wasteful number, since it uses less digits than its factorization.

5438420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5438420 is about 2332.0420236351. The cubic root of 5438420 is about 175.8561582992.

The spelling of 5438420 in words is "five million, four hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1609 1690 3218 3380 6436 8045 16090 20917 32180 41834 83668 104585 209170 271921 418340 543842 1087684 1359605 2719210 5438420