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12996900 = 22325272063
BaseRepresentation
bin110001100101…
…000100100100
3220110022101200
4301211010210
511311400100
61142322500
7215320560
oct61450444
926408350
1012996900
117377844
124429430
132900997
141a246a0
15121ae00
hexc65124

12996900 has 108 divisors (see below), whose sum is σ = 46580352. Its totient is φ = 2969280.

The previous prime is 12996881. The next prime is 12996911. The reversal of 12996900 is 969921.

It is a super-2 number, since 2×129969002 = 337838819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5269 + ... + 7331.

Almost surely, 212996900 is an apocalyptic number.

12996900 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 12996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23290176).

12996900 is an abundant number, since it is smaller than the sum of its proper divisors (33583452).

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

12996900 is a wasteful number, since it uses less digits than its factorization.

12996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 12996900 is about 3605.1213571806. The cubic root of 12996900 is about 235.1147771900.

It can be divided in two parts, 12996 and 900, that multiplied together give a square (11696400 = 34202).

The spelling of 12996900 in words is "twelve million, nine hundred ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2063 2100 3150 4126 6189 6300 8252 10315 12378 14441 18567 20630 24756 28882 30945 37134 41260 43323 51575 57764 61890 72205 74268 86646 92835 103150 123780 129969 144410 154725 173292 185670 206300 216615 259938 288820 309450 361025 371340 433230 464175 519876 618900 649845 722050 866460 928350 1083075 1299690 1444100 1856700 2166150 2599380 3249225 4332300 6498450 12996900