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12728760 = 2335119643
BaseRepresentation
bin110000100011…
…100110111000
3212221200120120
4300203212320
511224310020
61132453240
7213123042
oct60434670
925850516
1012728760
117204340
12431a220
132838915
141994a92
1511b6740
hexc239b8

12728760 has 64 divisors (see below), whose sum is σ = 41662080. Its totient is φ = 3085440.

The previous prime is 12728759. The next prime is 12728773. The reversal of 12728760 is 6782721.

It is a super-2 number, since 2×127287602 = 324042662275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 3502 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (650970).

Almost surely, 212728760 is an apocalyptic number.

12728760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728760 is an abundant number, since it is smaller than the sum of its proper divisors (28933320).

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

12728760 is a wasteful number, since it uses less digits than its factorization.

12728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12728760 is about 3567.7387796754. The cubic root of 12728760 is about 233.4866384821.

The spelling of 12728760 in words is "twelve million, seven hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9643 19286 28929 38572 48215 57858 77144 96430 106073 115716 144645 192860 212146 231432 289290 318219 385720 424292 530365 578580 636438 848584 1060730 1157160 1272876 1591095 2121460 2545752 3182190 4242920 6364380 12728760