Search a number
-
+
12291912 = 23356323
BaseRepresentation
bin101110111000…
…111101001000
3212010111100000
4232320331020
511121320122
61115243000
7206323323
oct56707510
925114300
1012291912
116a36106
124149460
132714b29
1418bd7ba
15112c0ac
hexbb8f48

12291912 has 48 divisors (see below), whose sum is σ = 34529040. Its totient is φ = 4096656.

The previous prime is 12291899. The next prime is 12291941. The reversal of 12291912 is 21919221.

It is a super-2 number, since 2×122919122 = 302182201231488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1218 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 212291912 is an apocalyptic number.

12291912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12291912 is an abundant number, since it is smaller than the sum of its proper divisors (22237128).

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

12291912 is an equidigital number, since it uses as much as digits as its factorization.

12291912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6328 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 12291912 is about 3505.9823159851. The cubic root of 12291912 is about 230.7844168468.

It can be divided in two parts, 12291 and 912, that added together give a triangular number (13203 = T162).

The spelling of 12291912 in words is "twelve million, two hundred ninety-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 6323 12646 18969 25292 37938 50584 56907 75876 113814 151752 170721 227628 341442 455256 512163 682884 1024326 1365768 1536489 2048652 3072978 4097304 6145956 12291912