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12132730 = 25172329107
BaseRepresentation
bin101110010010…
…000101111010
3211211101222101
4232102011322
511101221410
61112014014
7205061251
oct56220572
924741871
1012132730
116937555
12409130a
13268a53c
14187b798
1510e9d3a
hexb9217a

12132730 has 64 divisors (see below), whose sum is σ = 25194240. Its totient is φ = 4178944.

The previous prime is 12132727. The next prime is 12132739. The reversal of 12132730 is 3723121.

12132730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12132698 and 12132707.

It is not an unprimeable number, because it can be changed into a prime (12132739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113337 + ... + 113443.

It is an arithmetic number, because the mean of its divisors is an integer number (393660).

Almost surely, 212132730 is an apocalyptic number.

12132730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12132730 is an abundant number, since it is smaller than the sum of its proper divisors (13061510).

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

12132730 is a wasteful number, since it uses less digits than its factorization.

12132730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 12132730 is about 3483.2068557581. The cubic root of 12132730 is about 229.7838549099.

Adding to 12132730 its reverse (3723121), we get a palindrome (15855851).

The spelling of 12132730 in words is "twelve million, one hundred thirty-two thousand, seven hundred thirty".

Divisors: 1 2 5 10 17 23 29 34 46 58 85 107 115 145 170 214 230 290 391 493 535 667 782 986 1070 1334 1819 1955 2461 2465 3103 3335 3638 3910 4922 4930 6206 6670 9095 11339 12305 15515 18190 22678 24610 31030 41837 52751 56695 71369 83674 105502 113390 142738 209185 263755 356845 418370 527510 713690 1213273 2426546 6066365 12132730