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12894120 = 2333511939
BaseRepresentation
bin110001001011…
…111110101000
3220021002102000
4301023332220
511300102440
61140211000
7214412121
oct61137650
926232360
1012894120
1173075a8
124399a60
132895c75
1419d9048
1511ea730
hexc4bfa8

12894120 has 64 divisors (see below), whose sum is σ = 42984000. Its totient is φ = 3438144.

The previous prime is 12894107. The next prime is 12894139. The reversal of 12894120 is 2149821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4890 + ... + 7049.

It is an arithmetic number, because the mean of its divisors is an integer number (671625).

Almost surely, 212894120 is an apocalyptic number.

12894120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12894120 is an abundant number, since it is smaller than the sum of its proper divisors (30089880).

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

12894120 is a wasteful number, since it uses less digits than its factorization.

12894120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959 (or 11949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12894120 is about 3590.8383422259. The cubic root of 12894120 is about 234.4933706071.

The spelling of 12894120 in words is "twelve million, eight hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11939 23878 35817 47756 59695 71634 95512 107451 119390 143268 179085 214902 238780 286536 322353 358170 429804 477560 537255 644706 716340 859608 1074510 1289412 1432680 1611765 2149020 2578824 3223530 4298040 6447060 12894120