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12706320 = 2435114813
BaseRepresentation
bin110000011110…
…001000010000
3212220112210110
4300132020100
511223100240
61132201320
7213000444
oct60361020
925815713
1012706320
1171994a0
124309240
13282b643
14198a824
1511aec80
hexc1e210

12706320 has 80 divisors (see below), whose sum is σ = 42979392. Its totient is φ = 3079680.

The previous prime is 12706313. The next prime is 12706333. The reversal of 12706320 is 2360721.

It is a happy number.

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

It is a super-2 number, since 2×127063202 = 322901135884800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234 + ... + 5046.

Almost surely, 212706320 is an apocalyptic number.

12706320 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 12706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21489696).

12706320 is an abundant number, since it is smaller than the sum of its proper divisors (30273072).

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

12706320 is a wasteful number, since it uses less digits than its factorization.

12706320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12706320 is about 3564.5925433351. The cubic root of 12706320 is about 233.3493503744.

The spelling of 12706320 in words is "twelve million, seven hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4813 9626 14439 19252 24065 28878 38504 48130 52943 57756 72195 77008 96260 105886 115512 144390 158829 192520 211772 231024 264715 288780 317658 385040 423544 529430 577560 635316 794145 847088 1058860 1155120 1270632 1588290 2117720 2541264 3176580 4235440 6353160 12706320