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12676040 = 23513191283
BaseRepresentation
bin110000010110…
…101111001000
3212212000020222
4300112233020
511221113130
61131405212
7212513246
oct60265710
925760228
1012676040
117178773
1242b3808
13281a920
14197d796
1511a5ce5
hexc16bc8

12676040 has 64 divisors (see below), whose sum is σ = 32356800. Its totient is φ = 4430592.

The previous prime is 12676039. The next prime is 12676043. The reversal of 12676040 is 4067621.

12676040 = 5512 + 5522 + ... + 5892.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12676043) 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 15 ways as a sum of consecutive naturals, for example, 9239 + ... + 10521.

It is an arithmetic number, because the mean of its divisors is an integer number (505575).

Almost surely, 212676040 is an apocalyptic number.

12676040 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 12676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178400).

12676040 is an abundant number, since it is smaller than the sum of its proper divisors (19680760).

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

12676040 is a wasteful number, since it uses less digits than its factorization.

12676040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12676040 is about 3560.3426801363. The cubic root of 12676040 is about 233.1638406296.

The spelling of 12676040 in words is "twelve million, six hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1283 1976 2470 2566 4940 5132 6415 9880 10264 12830 16679 24377 25660 33358 48754 51320 66716 83395 97508 121885 133432 166790 195016 243770 316901 333580 487540 633802 667160 975080 1267604 1584505 2535208 3169010 6338020 12676040