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12262104 = 2334127149
BaseRepresentation
bin101110110001…
…101011011000
3212001222110000
4232301223120
511114341404
61114453000
7206140401
oct56615330
925058400
1012262104
116a15778
124134160
1327043aa
1418b29a8
151123339
hexbb1ad8

12262104 has 80 divisors (see below), whose sum is σ = 34848000. Its totient is φ = 4027968.

The previous prime is 12262097. The next prime is 12262109. The reversal of 12262104 is 40126221.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262109) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 82222 + ... + 82370.

It is an arithmetic number, because the mean of its divisors is an integer number (435600).

Almost surely, 212262104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12262104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424000).

12262104 is an abundant number, since it is smaller than the sum of its proper divisors (22585896).

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

12262104 is a wasteful number, since it uses less digits than its factorization.

12262104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12262104 is about 3501.7287159345. The cubic root of 12262104 is about 230.5977144003.

Adding to 12262104 its reverse (40126221), we get a palindrome (52388325).

It can be divided in two parts, 122 and 62104, that added together give a palindrome (62226).

The spelling of 12262104 in words is "twelve million, two hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 149 162 216 254 298 324 381 447 508 596 648 762 894 1016 1143 1192 1341 1524 1788 2286 2682 3048 3429 3576 4023 4572 5364 6858 8046 9144 10287 10728 12069 13716 16092 18923 20574 24138 27432 32184 37846 41148 48276 56769 75692 82296 96552 113538 151384 170307 227076 340614 454152 510921 681228 1021842 1362456 1532763 2043684 3065526 4087368 6131052 12262104