[go: up one dir, main page]

Search a number
-
+
12696732 = 2232312367
BaseRepresentation
bin110000011011…
…110010011100
3212220001122100
4300123302130
511222243412
61132045100
7212630466
oct60336234
925801570
1012696732
117192274
124303790
132827179
141987136
1511abedc
hexc1bc9c

12696732 has 54 divisors (see below), whose sum is σ = 33253584. Its totient is φ = 4084560.

The previous prime is 12696709. The next prime is 12696781. The reversal of 12696732 is 23769621.

12696732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126967322 = 322414006959648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34413 + ... + 34779.

Almost surely, 212696732 is an apocalyptic number.

12696732 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 12696732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626792).

12696732 is an abundant number, since it is smaller than the sum of its proper divisors (20556852).

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

12696732 is a wasteful number, since it uses less digits than its factorization.

12696732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 403 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12696732 is about 3563.2473952843. The cubic root of 12696732 is about 233.2906416225.

It can be divided in two parts, 1269 and 6732, that added together give a triangular number (8001 = T126).

The spelling of 12696732 in words is "twelve million, six hundred ninety-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 367 372 558 734 961 1101 1116 1468 1922 2202 2883 3303 3844 4404 5766 6606 8649 11377 11532 13212 17298 22754 34131 34596 45508 68262 102393 136524 204786 352687 409572 705374 1058061 1410748 2116122 3174183 4232244 6348366 12696732