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12294000 = 243253683
BaseRepresentation
bin101110111001…
…011101110000
3212010121012100
4232321131300
511121402000
61115300400
7206332365
oct56713560
925117170
1012294000
116a37734
12414a700
132715a74
1418c046c
15112ca00
hexbb9770

12294000 has 120 divisors (see below), whose sum is σ = 43001712. Its totient is φ = 3273600.

The previous prime is 12293993. The next prime is 12294013. The reversal of 12294000 is 49221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×122940002 = 302284872000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17659 + ... + 18341.

Almost surely, 212294000 is an apocalyptic number.

12294000 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 12294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500856).

12294000 is an abundant number, since it is smaller than the sum of its proper divisors (30707712).

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

12294000 is a wasteful number, since it uses less digits than its factorization.

12294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12294000 is about 3506.2800800849. The cubic root of 12294000 is about 230.7974837204.

The spelling of 12294000 in words is "twelve million, two hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 683 720 750 900 1000 1125 1200 1366 1500 1800 2000 2049 2250 2732 3000 3415 3600 4098 4500 5464 6000 6147 6830 8196 9000 10245 10928 12294 13660 16392 17075 18000 20490 24588 27320 30735 32784 34150 40980 49176 51225 54640 61470 68300 81960 85375 98352 102450 122940 136600 153675 163920 170750 204900 245880 256125 273200 307350 341500 409800 491760 512250 614700 683000 768375 819600 1024500 1229400 1366000 1536750 2049000 2458800 3073500 4098000 6147000 12294000