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12311424 = 273210687
BaseRepresentation
bin101110111101…
…101110000000
3212011111002200
4232331232000
511122431144
61115513200
7206434236
oct56755600
925144080
1012311424
116a49834
124158800
132720988
1418c6956
151132c69
hexbbdb80

12311424 has 48 divisors (see below), whose sum is σ = 35430720. Its totient is φ = 4103424.

The previous prime is 12311419. The next prime is 12311443. The reversal of 12311424 is 42411321.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 a junction number, because it is equal to n+sod(n) for n = 12311397 and 12311406.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4192 + ... + 6495.

It is an arithmetic number, because the mean of its divisors is an integer number (738140).

Almost surely, 212311424 is an apocalyptic number.

It is an amenable number.

12311424 is an abundant number, since it is smaller than the sum of its proper divisors (23119296).

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

12311424 is a wasteful number, since it uses less digits than its factorization.

12311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10692 counting only the distinct ones).

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

The square root of 12311424 is about 3508.7638849031. The cubic root of 12311424 is about 230.9064668837.

Adding to 12311424 its reverse (42411321), we get a palindrome (54722745).

The spelling of 12311424 in words is "twelve million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10687 21374 32061 42748 64122 85496 96183 128244 170992 192366 256488 341984 384732 512976 683968 769464 1025952 1367936 1538928 2051904 3077856 4103808 6155712 12311424