Search a number
-
+
12720000090 = 2357106157089
BaseRepresentation
bin10111101100010101…
…11100110001011010
31012211110220221210110
423312022330301122
5202022310000330
65502105425150
7630133134240
oct136612746132
935743827713
1012720000090
115438121376
12256ba9b1b6
131279387395
148894c0790
154e6a93db0
hex2f62bcc5a

12720000090 has 64 divisors (see below), whose sum is σ = 34922638080. Its totient is φ = 2904637440.

The previous prime is 12720000071. The next prime is 12720000103. The reversal of 12720000090 is 9000002721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194266 + ... + 251354.

It is an arithmetic number, because the mean of its divisors is an integer number (545666220).

Almost surely, 212720000090 is an apocalyptic number.

12720000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12720000090 is an abundant number, since it is smaller than the sum of its proper divisors (22202637990).

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

12720000090 is a wasteful number, since it uses less digits than its factorization.

12720000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58167.

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 12720000090 in words is "twelve billion, seven hundred twenty million, ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1061 2122 3183 5305 6366 7427 10610 14854 15915 22281 31830 37135 44562 57089 74270 111405 114178 171267 222810 285445 342534 399623 570890 799246 856335 1198869 1712670 1998115 2397738 3996230 5994345 11988690 60571429 121142858 181714287 302857145 363428574 424000003 605714290 848000006 908571435 1272000009 1817142870 2120000015 2544000018 4240000030 6360000045 12720000090