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2260160 = 26571009
BaseRepresentation
bin1000100111110011000000
311020211100122
420213303000
51034311120
6120235412
725132250
oct10476300
94224318
102260160
111304101
1290bb68
13611996
1442b960
152e9a25
hex227cc0

2260160 has 56 divisors (see below), whose sum is σ = 6156960. Its totient is φ = 774144.

The previous prime is 2260157. The next prime is 2260163. The reversal of 2260160 is 610622.

It is an interprime number because it is at equal distance from previous prime (2260157) and next prime (2260163).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736 + ... + 2744.

22260160 is an apocalyptic number.

2260160 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 2260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078480).

2260160 is an abundant number, since it is smaller than the sum of its proper divisors (3896800).

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

2260160 is a wasteful number, since it uses less digits than its factorization.

2260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2260160 is about 1503.3828521039. The cubic root of 2260160 is about 131.2340086337.

Adding to 2260160 its reverse (610622), we get a palindrome (2870782).

The spelling of 2260160 in words is "two million, two hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1009 1120 2018 2240 4036 5045 7063 8072 10090 14126 16144 20180 28252 32288 35315 40360 56504 64576 70630 80720 113008 141260 161440 226016 282520 322880 452032 565040 1130080 2260160