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2260414760 = 23556510369
BaseRepresentation
bin1000011010111011…
…0011000100101000
312211112100222010012
42012232303010220
514112131233020
61012144311052
7110005131332
oct20656630450
95745328105
102260414760
11a5aa4407a
12531012488
132a03c5336
141762c6452
15d36a27c5
hex86bb3128

2260414760 has 16 divisors (see below), whose sum is σ = 5085933300. Its totient is φ = 904165888.

The previous prime is 2260414759. The next prime is 2260414763. The reversal of 2260414760 is 674140622.

It can be written as a sum of positive squares in 2 ways, for example, as 2243159044 + 17255716 = 47362^2 + 4154^2 .

It is not an unprimeable number, because it can be changed into a prime (2260414763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28255145 + ... + 28255224.

Almost surely, 22260414760 is an apocalyptic number.

2260414760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260414760 is an abundant number, since it is smaller than the sum of its proper divisors (2825518540).

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

2260414760 is a wasteful number, since it uses less digits than its factorization.

2260414760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56510380 (or 56510376 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2260414760 is about 47543.8193669798. The cubic root of 2260414760 is about 1312.3893924629.

The spelling of 2260414760 in words is "two billion, two hundred sixty million, four hundred fourteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 56510369 113020738 226041476 282551845 452082952 565103690 1130207380 2260414760