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12314640 = 2435133947
BaseRepresentation
bin101110111110…
…100000010000
3212011122111210
4232332200100
511123032030
61115540120
7206446512
oct56764020
925148453
1012314640
116a51198
12415a640
132722290
1418c7bb2
151133bb0
hexbbe810

12314640 has 80 divisors (see below), whose sum is σ = 41122368. Its totient is φ = 3030528.

The previous prime is 12314639. The next prime is 12314651. The reversal of 12314640 is 4641321.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 5093.

Almost surely, 212314640 is an apocalyptic number.

12314640 is a gapful number since it is divisible by the number (10) 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 12314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561184).

12314640 is an abundant number, since it is smaller than the sum of its proper divisors (28807728).

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

12314640 is a wasteful number, since it uses less digits than its factorization.

12314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12314640 is about 3509.2221360296. Note that the first 3 decimals coincide. The cubic root of 12314640 is about 230.9265709905.

Adding to 12314640 its reverse (4641321), we get a palindrome (16955961).

The spelling of 12314640 in words is "twelve million, three hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3947 7894 11841 15788 19735 23682 31576 39470 47364 51311 59205 63152 78940 94728 102622 118410 153933 157880 189456 205244 236820 256555 307866 315760 410488 473640 513110 615732 769665 820976 947280 1026220 1231464 1539330 2052440 2462928 3078660 4104880 6157320 12314640