Search a number
-
+
12316160 = 29517283
BaseRepresentation
bin101110111110…
…111000000000
3212011201121002
4232332320000
511123104120
61115551132
7206454113
oct56767000
925151532
1012316160
116a5234a
12415b4a8
132722b8c
1418c857a
151134375
hexbbee00

12316160 has 80 divisors (see below), whose sum is σ = 31377456. Its totient is φ = 4620288.

The previous prime is 12316159. The next prime is 12316169. The reversal of 12316160 is 6161321.

12316160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12316169) 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, 43379 + ... + 43661.

Almost surely, 212316160 is an apocalyptic number.

12316160 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 12316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688728).

12316160 is an abundant number, since it is smaller than the sum of its proper divisors (19061296).

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

12316160 is an equidigital number, since it uses as much as digits as its factorization.

12316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12316160 is about 3509.4387015590. The cubic root of 12316160 is about 230.9360717134.

Adding to 12316160 its reverse (6161321), we get a palindrome (18477481).

The spelling of 12316160 in words is "twelve million, three hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 283 320 340 512 544 566 640 680 1088 1132 1280 1360 1415 2176 2264 2560 2720 2830 4352 4528 4811 5440 5660 8704 9056 9622 10880 11320 18112 19244 21760 22640 24055 36224 38488 43520 45280 48110 72448 76976 90560 96220 144896 153952 181120 192440 307904 362240 384880 615808 724480 769760 1231616 1539520 2463232 3079040 6158080 12316160