Search a number
-
+
212000620 = 225136113367
BaseRepresentation
bin11001010001011…
…01111101101100
3112202220202011211
430220231331230
5413233004440
633011524204
75152655416
oct1450557554
9482822154
10212000620
11a973a227
125abb9664
1334bc9670
14202279b6
1513929eea
hexca2df6c

212000620 has 48 divisors (see below), whose sum is σ = 487343808. Its totient is φ = 76988160.

The previous prime is 212000617. The next prime is 212000647. The reversal of 212000620 is 26000212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 212000620.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9177 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (10152996).

Almost surely, 2212000620 is an apocalyptic number.

212000620 is a gapful number since it is divisible by the number (20) 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 212000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243671904).

212000620 is an abundant number, since it is smaller than the sum of its proper divisors (275343188).

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

212000620 is a wasteful number, since it uses less digits than its factorization.

212000620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212000620 is about 14560.2410694329. The cubic root of 212000620 is about 596.2737770464.

Adding to 212000620 its reverse (26000212), we get a palindrome (238000832).

The spelling of 212000620 in words is "two hundred twelve million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 13367 15860 26734 53468 66835 133670 173771 267340 347542 695084 815387 868855 1630774 1737710 3261548 3475420 4076935 8153870 10600031 16307740 21200062 42400124 53000155 106000310 212000620