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12782070 = 233576763
BaseRepresentation
bin110000110000…
…100111110110
3220001101201000
4300300213312
511233011240
61133544130
7213434340
oct60604766
926041630
1012782070
1172403a4
124345046
132856c72
1419aa290
1511c7430
hexc309f6

12782070 has 64 divisors (see below), whose sum is σ = 38960640. Its totient is φ = 2921184.

The previous prime is 12782053. The next prime is 12782071. The reversal of 12782070 is 7028721.

12782070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12782071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (608760).

Almost surely, 212782070 is an apocalyptic number.

12782070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12782070 is an abundant number, since it is smaller than the sum of its proper divisors (26178570).

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

12782070 is a wasteful number, since it uses less digits than its factorization.

12782070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12782070 is about 3575.2020921900. The cubic root of 12782070 is about 233.8121437716.

The spelling of 12782070 in words is "twelve million, seven hundred eighty-two thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6763 13526 20289 33815 40578 47341 60867 67630 94682 101445 121734 142023 182601 202890 236705 284046 304335 365202 426069 473410 608670 710115 852138 913005 1278207 1420230 1826010 2130345 2556414 4260690 6391035 12782070