Search a number
-
+
12856200 = 2335273061
BaseRepresentation
bin110001000010…
…101110001000
3220012011101120
4301002232020
511242344300
61135315240
7214163430
oct61025610
926164346
1012856200
117291065
12437bb20
132881926
1419c92c0
1511de3a0
hexc42b88

12856200 has 96 divisors (see below), whose sum is σ = 45562560. Its totient is φ = 2937600.

The previous prime is 12856187. The next prime is 12856201. The reversal of 12856200 is 265821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12856201) 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, 2670 + ... + 5730.

It is an arithmetic number, because the mean of its divisors is an integer number (474610).

Almost surely, 212856200 is an apocalyptic number.

12856200 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 12856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781280).

12856200 is an abundant number, since it is smaller than the sum of its proper divisors (32706360).

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

12856200 is a wasteful number, since it uses less digits than its factorization.

12856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12856200 is about 3585.5543504457. The cubic root of 12856200 is about 234.2632729702.

The spelling of 12856200 in words is "twelve million, eight hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 3061 4200 6122 9183 12244 15305 18366 21427 24488 30610 36732 42854 45915 61220 64281 73464 76525 85708 91830 107135 122440 128562 153050 171416 183660 214270 229575 257124 306100 321405 367320 428540 459150 514248 535675 612200 642810 857080 918300 1071350 1285620 1607025 1836600 2142700 2571240 3214050 4285400 6428100 12856200