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212410040 = 23512741813
BaseRepresentation
bin11001010100100…
…01111010111000
3112210200112210112
430222101322320
5413334110130
633024403452
75156312153
oct1452217270
9483615715
10212410040
11a9999897
125b176588
1335010b1b
14202d2c9a
15139ab495
hexca91eb8

212410040 has 32 divisors (see below), whose sum is σ = 481697280. Its totient is φ = 84292992.

The previous prime is 212409979. The next prime is 212410049. The reversal of 212410040 is 40014212.

212410040 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 = 212409997 and 212410024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212410049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15827 + ... + 25986.

It is an arithmetic number, because the mean of its divisors is an integer number (15053040).

Almost surely, 2212410040 is an apocalyptic number.

212410040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212410040 is an abundant number, since it is smaller than the sum of its proper divisors (269287240).

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

212410040 is a wasteful number, since it uses less digits than its factorization.

212410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41951 (or 41947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212410040 is about 14574.2938079346. The cubic root of 212410040 is about 596.6573756481.

Adding to 212410040 its reverse (40014212), we get a palindrome (252424252).

The spelling of 212410040 in words is "two hundred twelve million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 41813 83626 167252 209065 334504 418130 836260 1672520 5310251 10620502 21241004 26551255 42482008 53102510 106205020 212410040