Search a number
-
+
11160720 = 243355167
BaseRepresentation
bin101010100100…
…110010010000
3210000000122000
4222210302100
510324120340
61035114000
7163602354
oct52446220
923000560
1011160720
11633323a
1238a2900
132409c9c
1416a7464
15ea6d30
hexaa4c90

11160720 has 80 divisors (see below), whose sum is σ = 38449920. Its totient is φ = 2975616.

The previous prime is 11160707. The next prime is 11160757. The reversal of 11160720 is 2706111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11160693 and 11160702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (480624).

Almost surely, 211160720 is an apocalyptic number.

11160720 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 11160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224960).

11160720 is an abundant number, since it is smaller than the sum of its proper divisors (27289200).

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

11160720 is a wasteful number, since it uses less digits than its factorization.

11160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11160720 is about 3340.7663791412. The cubic root of 11160720 is about 223.4759219140.

Adding to 11160720 its reverse (2706111), we get a palindrome (13866831).

The spelling of 11160720 in words is "eleven million, one hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5167 10334 15501 20668 25835 31002 41336 46503 51670 62004 77505 82672 93006 103340 124008 139509 155010 186012 206680 232515 248016 279018 310020 372024 413360 465030 558036 620040 697545 744048 930060 1116072 1240080 1395090 1860120 2232144 2790180 3720240 5580360 11160720