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12296100 = 22352172411
BaseRepresentation
bin101110111001…
…111110100100
3212010201002010
4232321332210
511121433400
61115314220
7206341455
oct56717644
925121063
1012296100
116a39273
12414b970
1327169cb
1418c112c
15112d450
hexbb9fa4

12296100 has 72 divisors (see below), whose sum is σ = 37685088. Its totient is φ = 3084800.

The previous prime is 12296077. The next prime is 12296101. The reversal of 12296100 is 169221.

It is not an unprimeable number, because it can be changed into a prime (12296101) 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, 3895 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (523404).

Almost surely, 212296100 is an apocalyptic number.

12296100 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 12296100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842544).

12296100 is an abundant number, since it is smaller than the sum of its proper divisors (25388988).

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

12296100 is a wasteful number, since it uses less digits than its factorization.

12296100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12296100 is about 3506.5795299693. The cubic root of 12296100 is about 230.8106241987.

The spelling of 12296100 in words is "twelve million, two hundred ninety-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2411 2550 4822 5100 7233 9644 12055 14466 24110 28932 36165 40987 48220 60275 72330 81974 120550 122961 144660 163948 180825 204935 241100 245922 361650 409870 491844 614805 723300 819740 1024675 1229610 2049350 2459220 3074025 4098700 6148050 12296100