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12677532 = 2237374079
BaseRepresentation
bin110000010111…
…000110011100
3212212002022020
4300113012130
511221140112
61131420140
7212520510
oct60270634
925762266
1012677532
1171798aa
1242b4650
13281b4ca
141980140
1511a648c
hexc1719c

12677532 has 48 divisors (see below), whose sum is σ = 34728960. Its totient is φ = 3523392.

The previous prime is 12677527. The next prime is 12677537. The reversal of 12677532 is 23577621.

It is an interprime number because it is at equal distance from previous prime (12677527) and next prime (12677537).

It is a super-2 number, since 2×126775322 = 321439635222048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12677493 and 12677502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677537) 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 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (723520).

Almost surely, 212677532 is an apocalyptic number.

12677532 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 12677532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364480).

12677532 is an abundant number, since it is smaller than the sum of its proper divisors (22051428).

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

12677532 is a wasteful number, since it uses less digits than its factorization.

12677532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4128 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 12677532 is about 3560.5522043638. The cubic root of 12677532 is about 233.1729882499.

The spelling of 12677532 in words is "twelve million, six hundred seventy-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 4079 8158 12237 16316 24474 28553 48948 57106 85659 114212 150923 171318 301846 342636 452769 603692 905538 1056461 1811076 2112922 3169383 4225844 6338766 12677532