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12730900 = 22527131399
BaseRepresentation
bin110000100100…
…001000010100
3212221210111211
4300210020110
511224342100
61132511204
7213132220
oct60441024
925853454
1012730900
117205a06
12431b504
1328398a0
141995780
1511b71ba
hexc24214

12730900 has 72 divisors (see below), whose sum is σ = 34025600. Its totient is φ = 4026240.

The previous prime is 12730889. The next prime is 12730933. The reversal of 12730900 is 903721.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8401 + ... + 9799.

Almost surely, 212730900 is an apocalyptic number.

12730900 is a gapful number since it is divisible by the number (10) 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 12730900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012800).

12730900 is an abundant number, since it is smaller than the sum of its proper divisors (21294700).

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

12730900 is a wasteful number, since it uses less digits than its factorization.

12730900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 12730900 is about 3568.0386769204. The cubic root of 12730900 is about 233.4997225900.

The spelling of 12730900 in words is "twelve million, seven hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1399 1820 2275 2798 4550 5596 6995 9100 9793 13990 18187 19586 27980 34975 36374 39172 48965 69950 72748 90935 97930 127309 139900 181870 195860 244825 254618 363740 454675 489650 509236 636545 909350 979300 1273090 1818700 2546180 3182725 6365450 12730900