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12730914 = 2327232191
BaseRepresentation
bin110000100100…
…001000100010
3212221210112100
4300210020202
511224342124
61132511230
7213132240
oct60441042
925853470
1012730914
117205a19
12431b516
1328398b1
141995790
1511b71c9
hexc24222

12730914 has 72 divisors (see below), whose sum is σ = 33126912. Its totient is φ = 3461040.

The previous prime is 12730889. The next prime is 12730933. The reversal of 12730914 is 41903721.

It is a super-3 number, since 3×127309143 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 66559 + ... + 66749.

It is an arithmetic number, because the mean of its divisors is an integer number (460096).

Almost surely, 212730914 is an apocalyptic number.

12730914 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 12730914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563456).

12730914 is an abundant number, since it is smaller than the sum of its proper divisors (20395998).

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

12730914 is a wasteful number, since it uses less digits than its factorization.

12730914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12730914 is about 3568.0406387820. The cubic root of 12730914 is about 233.4998081821.

The spelling of 12730914 in words is "twelve million, seven hundred thirty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 191 207 322 382 414 483 529 573 966 1058 1146 1337 1449 1587 1719 2674 2898 3174 3438 3703 4011 4393 4761 7406 8022 8786 9522 11109 12033 13179 22218 24066 26358 30751 33327 39537 61502 66654 79074 92253 101039 184506 202078 276759 303117 553518 606234 707273 909351 1414546 1818702 2121819 4243638 6365457 12730914