Search a number
-
+
1832480 = 25513881
BaseRepresentation
bin110111111011000100000
310110002200122
412333120200
5432114410
6103135412
721401336
oct6773040
93402618
101832480
111041851
12744568
134c2110
14359b56
15262e55
hex1bf620

1832480 has 48 divisors (see below), whose sum is σ = 4667544. Its totient is φ = 675840.

The previous prime is 1832477. The next prime is 1832497. The reversal of 1832480 is 842381.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 1008016 = 908^2 + 1004^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1640 + ... + 2520.

21832480 is an apocalyptic number.

1832480 is a gapful number since it is divisible by the number (10) 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 1832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333772).

1832480 is an abundant number, since it is smaller than the sum of its proper divisors (2835064).

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

1832480 is a wasteful number, since it uses less digits than its factorization.

1832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1832480 is about 1353.6912498794. The cubic root of 1832480 is about 122.3713490404.

Subtracting from 1832480 its reverse (842381), we obtain a palindrome (990099).

The spelling of 1832480 in words is "one million, eight hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 881 1040 1762 2080 3524 4405 7048 8810 11453 14096 17620 22906 28192 35240 45812 57265 70480 91624 114530 140960 183248 229060 366496 458120 916240 1832480