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12693312 = 263222037
BaseRepresentation
bin110000011010…
…111101000000
3212212212221200
4300122331000
511222141222
61132021200
7212614512
oct60327500
925785850
1012693312
11718a745
124301800
132825748
141985bb2
1511aaeac
hexc1af40

12693312 has 42 divisors (see below), whose sum is σ = 36384738. Its totient is φ = 4230912.

The previous prime is 12693277. The next prime is 12693367. The reversal of 12693312 is 21339621.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 4260096 = 2904^2 + 2064^2 .

It is a super-2 number, since 2×126933122 = 322240339058688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10443 + ... + 11594.

Almost surely, 212693312 is an apocalyptic number.

12693312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12693312 is an abundant number, since it is smaller than the sum of its proper divisors (23691426).

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

12693312 is a wasteful number, since it uses less digits than its factorization.

12693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22055 (or 22042 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12693312 is about 3562.7674636440. The cubic root of 12693312 is about 233.2696933018.

The spelling of 12693312 in words is "twelve million, six hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22037 44074 66111 88148 132222 176296 198333 264444 352592 396666 528888 705184 793332 1057776 1410368 1586664 2115552 3173328 4231104 6346656 12693312