Search a number
-
+
2461320 = 233354353
BaseRepresentation
bin1001011000111010001000
311122001022000
421120322020
51112230240
6124431000
726630601
oct11307210
94561260
102461320
111431254
129a8460
13682404
14480da8
15339430
hex258e88

2461320 has 128 divisors (see below), whose sum is σ = 8553600. Its totient is φ = 628992.

The previous prime is 2461313. The next prime is 2461337. The reversal of 2461320 is 231642.

It is a happy number.

It is a super-2 number, since 2×24613202 = 12116192284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2461293 and 2461302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46414 + ... + 46466.

It is an arithmetic number, because the mean of its divisors is an integer number (66825).

22461320 is an apocalyptic number.

2461320 is a gapful number since it is divisible by the number (20) 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 2461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276800).

2461320 is an abundant number, since it is smaller than the sum of its proper divisors (6092280).

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

2461320 is a wasteful number, since it uses less digits than its factorization.

2461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2461320 is about 1568.8594583327. The cubic root of 2461320 is about 135.0172817382.

Adding to 2461320 its reverse (231642), we get a palindrome (2692962).

The spelling of 2461320 in words is "two million, four hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 53 54 60 72 86 90 106 108 120 129 135 159 172 180 212 215 216 258 265 270 318 344 360 387 424 430 477 516 530 540 636 645 774 795 860 954 1032 1060 1080 1161 1272 1290 1431 1548 1590 1720 1908 1935 2120 2279 2322 2385 2580 2862 3096 3180 3816 3870 4558 4644 4770 5160 5724 5805 6360 6837 7155 7740 9116 9288 9540 11395 11448 11610 13674 14310 15480 18232 19080 20511 22790 23220 27348 28620 34185 41022 45580 46440 54696 57240 61533 68370 82044 91160 102555 123066 136740 164088 205110 246132 273480 307665 410220 492264 615330 820440 1230660 2461320