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12685572 = 223531421
BaseRepresentation
bin110000011001…
…000100000100
3212212111100000
4300121010010
511221414242
61131521300
7212553114
oct60310404
925774300
1012685572
117184949
1242b9230
132822073
141983044
1511a8a4c
hexc19104

12685572 has 72 divisors (see below), whose sum is σ = 34408192. Its totient is φ = 4082400.

The previous prime is 12685567. The next prime is 12685573. The reversal of 12685572 is 27558621.

It is a happy number.

12685572 is a `hidden beast` number, since 1 + 2 + 6 + 85 + 572 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12685573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29922 + ... + 30342.

Almost surely, 212685572 is an apocalyptic number.

12685572 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 12685572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204096).

12685572 is an abundant number, since it is smaller than the sum of its proper divisors (21722620).

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

12685572 is a wasteful number, since it uses less digits than its factorization.

12685572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12685572 is about 3561.6810637675. The cubic root of 12685572 is about 233.2222700464. Note that the first 4 decimals are identical.

It can be divided in two parts, 12 and 685572, that added together give a square (685584 = 8282).

The spelling of 12685572 in words is "twelve million, six hundred eighty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 421 486 558 837 842 972 1116 1263 1674 1684 2511 2526 3348 3789 5022 5052 7533 7578 10044 11367 13051 15066 15156 22734 26102 30132 34101 39153 45468 52204 68202 78306 102303 117459 136404 156612 204606 234918 352377 409212 469836 704754 1057131 1409508 2114262 3171393 4228524 6342786 12685572