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12068700 = 2235272821
BaseRepresentation
bin101110000010…
…011101011100
3211201011010220
4232002131130
511042144300
61110401340
7204403500
oct56023534
924634126
1012068700
1168a3436
124060250
132667357
141862300
1510d5da0
hexb8275c

12068700 has 108 divisors (see below), whose sum is σ = 40669272. Its totient is φ = 2755200.

The previous prime is 12068689. The next prime is 12068711. The reversal of 12068700 is 786021.

12068700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12068689) and next prime (12068711).

It is a congruent number.

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, 14290 + ... + 15110.

Almost surely, 212068700 is an apocalyptic number.

12068700 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 12068700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334636).

12068700 is an abundant number, since it is smaller than the sum of its proper divisors (28600572).

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

12068700 is a wasteful number, since it uses less digits than its factorization.

12068700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12068700 is about 3474.0034542297. The cubic root of 12068700 is about 229.3789166722.

Subtracting from 12068700 its sum of digits (24), we obtain a square (12068676 = 34742).

The spelling of 12068700 in words is "twelve million, sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 821 980 1050 1225 1470 1642 2100 2450 2463 2940 3284 3675 4105 4900 4926 5747 7350 8210 9852 11494 12315 14700 16420 17241 20525 22988 24630 28735 34482 40229 41050 49260 57470 61575 68964 80458 82100 86205 114940 120687 123150 143675 160916 172410 201145 241374 246300 287350 344820 402290 431025 482748 574700 603435 804580 862050 1005725 1206870 1724100 2011450 2413740 3017175 4022900 6034350 12068700