Search a number
-
+
2461017140 = 2252912013533
BaseRepresentation
bin1001001010110000…
…0010010000110100
320100111211121211222
42102230002100310
520020010022030
61044112045512
7114662205041
oct22254022064
96314747758
102461017140
1110531a866a
12588233898
13302b3087a
14194bc41c8
15e60ca3e5
hex92b02434

2461017140 has 48 divisors (see below), whose sum is σ = 5352313680. Its totient is φ = 949401600.

The previous prime is 2461017131. The next prime is 2461017157. The reversal of 2461017140 is 417101642.

It can be written as a sum of positive squares in 8 ways, for example, as 161239204 + 2299777936 = 12698^2 + 47956^2 .

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 15 ways as a sum of consecutive naturals, for example, 694814 + ... + 698346.

It is an arithmetic number, because the mean of its divisors is an integer number (111506535).

Almost surely, 22461017140 is an apocalyptic number.

2461017140 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 2461017140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676156840).

2461017140 is an abundant number, since it is smaller than the sum of its proper divisors (2891296540).

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

2461017140 is a wasteful number, since it uses less digits than its factorization.

2461017140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2461017140 is about 49608.6397717172. The cubic root of 2461017140 is about 1350.1174365146.

Adding to 2461017140 its reverse (417101642), we get a palindrome (2878118782).

The spelling of 2461017140 in words is "two billion, four hundred sixty-one million, seventeen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1201 2402 3533 4804 6005 7066 12010 14132 17665 24020 34829 35330 69658 70660 102457 139316 174145 204914 348290 409828 512285 696580 1024570 2049140 4243133 8486266 16972532 21215665 42431330 84862660 123050857 246101714 492203428 615254285 1230508570 2461017140