Search a number
-
+
12086900 = 2252731557
BaseRepresentation
bin101110000110…
…111001110100
3211202002002222
4232012321310
511043240100
61111021512
7204510530
oct56067164
924662088
1012086900
116906081
12406a898
132672717
141868bc0
1510db485
hexb86e74

12086900 has 72 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 4003200.

The previous prime is 12086887. The next prime is 12086903. The reversal of 12086900 is 968021.

It is a super-2 number, since 2×120869002 = 292186303220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12086900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21422 + ... + 21978.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 212086900 is an apocalyptic number.

12086900 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 12086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

12086900 is an abundant number, since it is smaller than the sum of its proper divisors (18911116).

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

12086900 is a wasteful number, since it uses less digits than its factorization.

12086900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 12086900 is about 3476.6219236494. The cubic root of 12086900 is about 229.4941624322.

The spelling of 12086900 in words is "twelve million, eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 557 620 700 775 868 1085 1114 1550 2170 2228 2785 3100 3899 4340 5425 5570 7798 10850 11140 13925 15596 17267 19495 21700 27850 34534 38990 55700 69068 77980 86335 97475 120869 172670 194950 241738 345340 389900 431675 483476 604345 863350 1208690 1726700 2417380 3021725 6043450 12086900