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12676496 = 2472192337
BaseRepresentation
bin110000010110…
…110110010000
3212212000212212
4300112312100
511221121441
61131411252
7212514500
oct60266620
925760785
1012676496
117179048
1242b3b28
13281abb1
14197da00
1511a5eeb
hexc16d90

12676496 has 120 divisors (see below), whose sum is σ = 32230080. Its totient is φ = 4790016.

The previous prime is 12676493. The next prime is 12676549. The reversal of 12676496 is 69467621.

12676496 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (12676493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342590 + ... + 342626.

It is an arithmetic number, because the mean of its divisors is an integer number (268584).

Almost surely, 212676496 is an apocalyptic number.

12676496 is a gapful number since it is divisible by the number (16) 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 12676496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040).

12676496 is an abundant number, since it is smaller than the sum of its proper divisors (19553584).

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

12676496 is a wasteful number, since it uses less digits than its factorization.

12676496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 12676496 is about 3560.4067183399. The cubic root of 12676496 is about 233.1666364932.

The spelling of 12676496 in words is "twelve million, six hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 23 28 37 38 46 49 56 74 76 92 98 112 133 148 152 161 184 196 259 266 296 304 322 368 392 437 518 532 592 644 703 784 851 874 931 1036 1064 1127 1288 1406 1702 1748 1813 1862 2072 2128 2254 2576 2812 3059 3404 3496 3626 3724 4144 4508 4921 5624 5957 6118 6808 6992 7252 7448 9016 9842 11248 11914 12236 13616 14504 14896 16169 18032 19684 21413 23828 24472 29008 32338 34447 39368 41699 42826 47656 48944 64676 68894 78736 83398 85652 95312 113183 129352 137788 166796 171304 226366 258704 275576 333592 342608 452732 551152 667184 792281 905464 1584562 1810928 3169124 6338248 12676496