Search a number
-
+
12706700 = 2252283449
BaseRepresentation
bin110000011110…
…001110001100
3212220120022112
4300132032030
511223103300
61132203152
7213001526
oct60361614
925816275
1012706700
117199806
1243094b8
13282b876
14198aa16
1511aee35
hexc1e38c

12706700 has 36 divisors (see below), whose sum is σ = 27732600. Its totient is φ = 5053440.

The previous prime is 12706693. The next prime is 12706703. The reversal of 12706700 is 760721.

It is a happy number.

It is a super-2 number, since 2×127067002 = 322920449780000, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12706703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28076 + ... + 28524.

It is an arithmetic number, because the mean of its divisors is an integer number (770350).

Almost surely, 212706700 is an apocalyptic number.

12706700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12706700 is an abundant number, since it is smaller than the sum of its proper divisors (15025900).

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

12706700 is a wasteful number, since it uses less digits than its factorization.

12706700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 12706700 is about 3564.6458449613. The cubic root of 12706700 is about 233.3516765625.

The spelling of 12706700 in words is "twelve million, seven hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283 449 566 898 1132 1415 1796 2245 2830 4490 5660 7075 8980 11225 14150 22450 28300 44900 127067 254134 508268 635335 1270670 2541340 3176675 6353350 12706700