Search a number
-
+
12655734 = 2371321783
BaseRepresentation
bin110000010001…
…110001110110
3212210222101220
4300101301312
511214440414
61131131210
7212400120
oct60216166
925728356
1012655734
117164493
1242a3b06
132811600
141976210
15119eca9
hexc11c76

12655734 has 48 divisors (see below), whose sum is σ = 31341312. Its totient is φ = 3335904.

The previous prime is 12655733. The next prime is 12655751. The reversal of 12655734 is 43755621.

12655734 = 3272 + 3282 + ... + 4172.

It is a junction number, because it is equal to n+sod(n) for n = 12655695 and 12655704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12655733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6207 + ... + 7989.

It is an arithmetic number, because the mean of its divisors is an integer number (652944).

Almost surely, 212655734 is an apocalyptic number.

12655734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12655734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670656).

12655734 is an abundant number, since it is smaller than the sum of its proper divisors (18685578).

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

12655734 is a wasteful number, since it uses less digits than its factorization.

12655734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1808 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 12655734 is about 3557.4898453826. The cubic root of 12655734 is about 233.0392708280.

The spelling of 12655734 in words is "twelve million, six hundred fifty-five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 1783 2366 3549 3566 5349 7098 10698 12481 23179 24962 37443 46358 69537 74886 139074 162253 301327 324506 486759 602654 903981 973518 1807962 2109289 4218578 6327867 12655734