Search a number
-
+
12782094 = 23133743103
BaseRepresentation
bin110000110000…
…101000001110
3220001101201220
4300300220032
511233011334
61133544210
7213434403
oct60605016
926041656
1012782094
117240416
124345066
132856c90
1419aa2aa
1511c7449
hexc30a0e

12782094 has 64 divisors (see below), whose sum is σ = 29213184. Its totient is φ = 3701376.

The previous prime is 12782087. The next prime is 12782101. The reversal of 12782094 is 49028721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12782087) and next prime (12782101).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124047 + ... + 124149.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 212782094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606592).

12782094 is an abundant number, since it is smaller than the sum of its proper divisors (16431090).

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

12782094 is a wasteful number, since it uses less digits than its factorization.

12782094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12782094 is about 3575.2054486421. The cubic root of 12782094 is about 233.8122901091.

The spelling of 12782094 in words is "twelve million, seven hundred eighty-two thousand, ninety-four".

Divisors: 1 2 3 6 13 26 37 39 43 74 78 86 103 111 129 206 222 258 309 481 559 618 962 1118 1339 1443 1591 1677 2678 2886 3182 3354 3811 4017 4429 4773 7622 8034 8858 9546 11433 13287 20683 22866 26574 41366 49543 57577 62049 99086 115154 124098 148629 163873 172731 297258 327746 345462 491619 983238 2130349 4260698 6391047 12782094