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11310160 = 245373821
BaseRepresentation
bin101011001001…
…010001010000
3210021121121211
4223021101100
510343411120
61042225504
7165064141
oct53112120
923247554
1011310160
116425544
123955294
132460004
141705ac8
15ed625a
hexac9450

11310160 has 40 divisors (see below), whose sum is σ = 27013896. Its totient is φ = 4400640.

The previous prime is 11310157. The next prime is 11310163. The reversal of 11310160 is 6101311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11310157) and next prime (11310163).

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 5721664 = 2364^2 + 2392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11310160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310163) 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, 1050 + ... + 4870.

Almost surely, 211310160 is an apocalyptic number.

11310160 is a gapful number since it is divisible by the number (10) 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 11310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948).

11310160 is an abundant number, since it is smaller than the sum of its proper divisors (15703736).

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

11310160 is a wasteful number, since it uses less digits than its factorization.

11310160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 11310160 is about 3363.0581321173. The cubic root of 11310160 is about 224.4689368284.

Adding to 11310160 its reverse (6101311), we get a palindrome (17411471).

The spelling of 11310160 in words is "eleven million, three hundred ten thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 3821 7642 15284 19105 30568 38210 61136 76420 141377 152840 282754 305680 565508 706885 1131016 1413770 2262032 2827540 5655080 11310160