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2260361376 = 25347213372
BaseRepresentation
bin1000011010111010…
…0110000010100000
312211112021020220000
42012232212002200
514112123031001
61012143220000
7110004516600
oct20656460240
95745236800
102260361376
11a5aa07a59
12530ba7600
132a03a6c50
141762b0c00
15d3691a86
hex86ba60a0

2260361376 has 540 divisors, whose sum is σ = 8558997678. Its totient is φ = 580027392.

The previous prime is 2260361359. The next prime is 2260361387. The reversal of 2260361376 is 6731630622.

2260361376 is a `hidden beast` number, since 2 + 260 + 361 + 37 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2220671376 + 39690000 = 47124^2 + 6300^2 .

It is a super-2 number, since 2×22603613762 = 10218467100225226752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2260361376.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61090830 + ... + 61090866.

Almost surely, 22260361376 is an apocalyptic number.

2260361376 is a gapful number since it is divisible by the number (26) 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 2260361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279498839).

2260361376 is an abundant number, since it is smaller than the sum of its proper divisors (6298636302).

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

2260361376 is a wasteful number, since it uses less digits than its factorization.

2260361376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2260361376 is about 47543.2579447391. The cubic root of 2260361376 is about 1312.3790608565.

Adding to 2260361376 its reverse (6731630622), we get a palindrome (8991991998).

The spelling of 2260361376 in words is "two billion, two hundred sixty million, three hundred sixty-one thousand, three hundred seventy-six".