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12836320 = 255773157
BaseRepresentation
bin110000111101…
…110111100000
3220011011010021
4300331313200
511241230240
61135043224
7214051450
oct60756740
926134107
1012836320
117278132
124370514
132875873
1419c1d60
1511d854a
hexc3dde0

12836320 has 96 divisors (see below), whose sum is σ = 35356608. Its totient is φ = 4313088.

The previous prime is 12836287. The next prime is 12836333. The reversal of 12836320 is 2363821.

It is a super-2 number, since 2×128363202 = 329542222284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81682 + ... + 81838.

It is an arithmetic number, because the mean of its divisors is an integer number (368298).

Almost surely, 212836320 is an apocalyptic number.

12836320 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 12836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678304).

12836320 is an abundant number, since it is smaller than the sum of its proper divisors (22520288).

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

12836320 is a wasteful number, since it uses less digits than its factorization.

12836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 12836320 is about 3582.7810427097. The cubic root of 12836320 is about 234.1424607956.

The spelling of 12836320 in words is "twelve million, eight hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 157 160 224 280 292 314 365 511 560 584 628 730 785 1022 1099 1120 1168 1256 1460 1570 2044 2198 2336 2512 2555 2920 3140 4088 4396 5024 5110 5495 5840 6280 8176 8792 10220 10990 11461 11680 12560 16352 17584 20440 21980 22922 25120 35168 40880 43960 45844 57305 80227 81760 87920 91688 114610 160454 175840 183376 229220 320908 366752 401135 458440 641816 802270 916880 1283632 1604540 1833760 2567264 3209080 6418160 12836320