Search a number
-
+
12999540 = 22352931241
BaseRepresentation
bin110001100101…
…101101110100
3220110110000110
4301211231310
511311441130
61142343020
7215331351
oct61455564
926413013
1012999540
117379824
12442aa70
132901c48
141a25628
15121bab0
hexc65b74

12999540 has 96 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3225600.

The previous prime is 12999533. The next prime is 12999557. The reversal of 12999540 is 4599921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53820 + ... + 54060.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 212999540 is an apocalyptic number.

12999540 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 12999540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

12999540 is an abundant number, since it is smaller than the sum of its proper divisors (26030220).

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

12999540 is a wasteful number, since it uses less digits than its factorization.

12999540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 12999540 is about 3605.4874843771. The cubic root of 12999540 is about 235.1306953702.

The spelling of 12999540 in words is "twelve million, nine hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 241 290 310 348 372 435 465 482 580 620 723 870 899 930 964 1205 1446 1740 1798 1860 2410 2697 2892 3596 3615 4495 4820 5394 6989 7230 7471 8990 10788 13485 13978 14460 14942 17980 20967 22413 26970 27956 29884 34945 37355 41934 44826 53940 69890 74710 83868 89652 104835 112065 139780 149420 209670 216659 224130 419340 433318 448260 649977 866636 1083295 1299954 2166590 2599908 3249885 4333180 6499770 12999540