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2461130320 = 245112254249
BaseRepresentation
bin1001001010110001…
…1101111001010000
320100112001101002211
42102230131321100
520020022132240
61044114321504
7114663156025
oct22254357120
96315041084
102461130320
111053275700
12588289294
13302b7023c
14194c1354c
15e60edbea
hex92b1de50

2461130320 has 60 divisors (see below), whose sum is σ = 6289636500. Its totient is φ = 894952960.

The previous prime is 2461130299. The next prime is 2461130323. The reversal of 2461130320 is 230311642.

It can be written as a sum of positive squares in 2 ways, for example, as 470542864 + 1990587456 = 21692^2 + 44616^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2461130291 and 2461130300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461130323) 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, 117445 + ... + 136804.

It is an arithmetic number, because the mean of its divisors is an integer number (104827275).

Almost surely, 22461130320 is an apocalyptic number.

2461130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461130320 is an abundant number, since it is smaller than the sum of its proper divisors (3828506180).

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

2461130320 is a wasteful number, since it uses less digits than its factorization.

2461130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254284 (or 254267 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2461130320 is about 49609.7804873192. The cubic root of 2461130320 is about 1350.1381330993.

Adding to 2461130320 its reverse (230311642), we get a palindrome (2691441962).

The spelling of 2461130320 in words is "two billion, four hundred sixty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 254249 508498 1016996 1271245 2033992 2542490 2796739 4067984 5084980 5593478 10169960 11186956 13983695 20339920 22373912 27967390 30764129 44747824 55934780 61528258 111869560 123056516 153820645 223739120 246113032 307641290 492226064 615282580 1230565160 2461130320