Search a number
-
+
12680712 = 233511593
BaseRepresentation
bin110000010111…
…111000001000
3212212020200000
4300113320020
511221240322
61131443000
7212533002
oct60277010
925766600
1012680712
117181230
1242b6460
13281caa5
141981372
1511a73ac
hexc17e08

12680712 has 96 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 3836160.

The previous prime is 12680711. The next prime is 12680719. The reversal of 12680712 is 21708621.

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

It is not an unprimeable number, because it can be changed into a prime (12680711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21088 + ... + 21680.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 212680712 is an apocalyptic number.

12680712 is a gapful number since it is divisible by the number (12) 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 12680712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

12680712 is an abundant number, since it is smaller than the sum of its proper divisors (26238168).

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

12680712 is a wasteful number, since it uses less digits than its factorization.

12680712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12680712 is about 3560.9987363098. The cubic root of 12680712 is about 233.1924827938.

The spelling of 12680712 in words is "twelve million, six hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 593 594 648 792 891 972 1186 1188 1779 1782 1944 2372 2376 2673 3558 3564 4744 5337 5346 6523 7116 7128 10674 10692 13046 14232 16011 19569 21348 21384 26092 32022 39138 42696 48033 52184 58707 64044 78276 96066 117414 128088 144099 156552 176121 192132 234828 288198 352242 384264 469656 528363 576396 704484 1056726 1152792 1408968 1585089 2113452 3170178 4226904 6340356 12680712