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12506214 = 237734079
BaseRepresentation
bin101111101101…
…010001100110
3212112101022010
4233231101212
511200144324
61124015050
7211205160
oct57552146
925471263
1012506214
117072116
124231486
13278b536
141937930
151170829
hexbed466

12506214 has 32 divisors (see below), whose sum is σ = 28984320. Its totient is φ = 3523392.

The previous prime is 12506167. The next prime is 12506233. The reversal of 12506214 is 41260521.

It is a super-2 number, since 2×125062142 = 312810777227592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (905760).

Almost surely, 212506214 is an apocalyptic number.

12506214 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 12506214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492160).

12506214 is an abundant number, since it is smaller than the sum of its proper divisors (16478106).

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

12506214 is a wasteful number, since it uses less digits than its factorization.

12506214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12506214 is about 3536.4125890512. The cubic root of 12506214 is about 232.1178924205.

Adding to 12506214 its reverse (41260521), we get a palindrome (53766735).

It can be divided in two parts, 12506 and 214, that added together give a triangular number (12720 = T159).

The spelling of 12506214 in words is "twelve million, five hundred six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 4079 8158 12237 24474 28553 57106 85659 171318 297767 595534 893301 1786602 2084369 4168738 6253107 12506214