Search a number
-
+
12311190 = 234515199
BaseRepresentation
bin101110111101…
…101010010110
3212011110210000
4232331222112
511122424230
61115512130
7206433453
oct56755226
925143700
1012311190
116a49641
124158646
132720838
1418c682a
151132b60
hexbbda96

12311190 has 40 divisors (see below), whose sum is σ = 33105600. Its totient is φ = 3282768.

The previous prime is 12311153. The next prime is 12311191. The reversal of 12311190 is 9111321.

It is a super-2 number, since 2×123111902 = 303130798432200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311191) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6790 + ... + 8409.

It is an arithmetic number, because the mean of its divisors is an integer number (827640).

Almost surely, 212311190 is an apocalyptic number.

12311190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12311190 is an abundant number, since it is smaller than the sum of its proper divisors (20794410).

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

12311190 is a wasteful number, since it uses less digits than its factorization.

12311190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15218 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 12311190 is about 3508.7305396682. The cubic root of 12311190 is about 230.9050039483.

It can be divided in two parts, 123111 and 90, that added together give a square (123201 = 3512).

The spelling of 12311190 in words is "twelve million, three hundred eleven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 15199 30398 45597 75995 91194 136791 151990 227985 273582 410373 455970 683955 820746 1231119 1367910 2051865 2462238 4103730 6155595 12311190