Search a number
-
+
12190332 = 22371179167
BaseRepresentation
bin101110100000…
…001001111100
3211221022222210
4232200021330
511110042312
61113140420
7205421220
oct56401174
924838883
1012190332
116976860
1240ba710
1326aa81b
141894780
15110be3c
hexba027c

12190332 has 96 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 3107520.

The previous prime is 12190331. The next prime is 12190333. The reversal of 12190332 is 23309121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12190331) and next prime (12190333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12190299 and 12190308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72913 + ... + 73079.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 212190332 is an apocalyptic number.

12190332 is a gapful number since it is divisible by the number (12) 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 12190332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

12190332 is an abundant number, since it is smaller than the sum of its proper divisors (23936388).

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

12190332 is a wasteful number, since it uses less digits than its factorization.

12190332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12190332 is about 3491.4655948470. The cubic root of 12190332 is about 230.1469256566.

Adding to 12190332 its reverse (23309121), we get a palindrome (35499453).

The spelling of 12190332 in words is "twelve million, one hundred ninety thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 167 231 237 308 316 334 462 474 501 553 668 869 924 948 1002 1106 1169 1659 1738 1837 2004 2212 2338 2607 3318 3476 3507 3674 4676 5214 5511 6083 6636 7014 7348 10428 11022 12166 12859 13193 14028 18249 22044 24332 25718 26386 36498 38577 39579 51436 52772 72996 77154 79158 92351 145123 154308 158316 184702 277053 290246 369404 435369 554106 580492 870738 1015861 1108212 1741476 2031722 3047583 4063444 6095166 12190332