Search a number
-
+
212728940 = 22519559813
BaseRepresentation
bin11001010110111…
…11110001101100
3112211021202020122
430223133301230
5413424311230
633035304112
75162110664
oct1453376154
9484252218
10212728940
11aa097446
125b2ab038
13350c3018
14203771a4
1513a20be5
hexcadfc6c

212728940 has 24 divisors (see below), whose sum is σ = 470243760. Its totient is φ = 80612928.

The previous prime is 212728933. The next prime is 212728961. The reversal of 212728940 is 49827212.

It is a self number, because there is not a number n which added to its sum of digits gives 212728940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279527 + ... + 280286.

It is an arithmetic number, because the mean of its divisors is an integer number (19593490).

Almost surely, 2212728940 is an apocalyptic number.

212728940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212728940 is an abundant number, since it is smaller than the sum of its proper divisors (257514820).

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

212728940 is a wasteful number, since it uses less digits than its factorization.

212728940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559841 (or 559839 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 212728940 is about 14585.2302004459. The cubic root of 212728940 is about 596.9558218270.

The spelling of 212728940 in words is "two hundred twelve million, seven hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 559813 1119626 2239252 2799065 5598130 10636447 11196260 21272894 42545788 53182235 106364470 212728940