Search a number
-
+
12876500 = 2253713283
BaseRepresentation
bin110001000111…
…101011010100
3220020012020102
4301013223110
511244022000
61135553232
7214306550
oct61075324
926205212
1012876500
1172a533a
12438b818
13288ac40
1419d2860
1511e53d5
hexc47ad4

12876500 has 96 divisors (see below), whose sum is σ = 34734336. Its totient is φ = 4060800.

The previous prime is 12876491. The next prime is 12876503. The reversal of 12876500 is 567821.

12876500 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12876500 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12876503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45359 + ... + 45641.

It is an arithmetic number, because the mean of its divisors is an integer number (361816).

Almost surely, 212876500 is an apocalyptic number.

12876500 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 12876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367168).

12876500 is an abundant number, since it is smaller than the sum of its proper divisors (21857836).

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

12876500 is a wasteful number, since it uses less digits than its factorization.

12876500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 12876500 is about 3588.3840374185. The cubic root of 12876500 is about 234.3865090645.

The spelling of 12876500 in words is "twelve million, eight hundred seventy-six thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 125 130 140 175 182 250 260 283 325 350 364 455 500 566 650 700 875 910 1132 1300 1415 1625 1750 1820 1981 2275 2830 3250 3500 3679 3962 4550 5660 6500 7075 7358 7924 9100 9905 11375 14150 14716 18395 19810 22750 25753 28300 35375 36790 39620 45500 49525 51506 70750 73580 91975 99050 103012 128765 141500 183950 198100 247625 257530 367900 459875 495250 515060 643825 919750 990500 1287650 1839500 2575300 3219125 6438250 12876500