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212504120 = 23531716759
BaseRepresentation
bin11001010101010…
…00111000111000
3112210212022211222
430222220320320
5413400112440
633030411212
75160153353
oct1452507070
9483768758
10212504120
11a9a53544
125b200b08
13350448aa
142031929a
15139c92b5
hexcaa8e38

212504120 has 32 divisors (see below), whose sum is σ = 479671200. Its totient is φ = 84728448.

The previous prime is 212504081. The next prime is 212504177. The reversal of 212504120 is 21405212.

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 7 ways as a sum of consecutive naturals, for example, 4301 + ... + 21059.

It is an arithmetic number, because the mean of its divisors is an integer number (14989725).

Almost surely, 2212504120 is an apocalyptic number.

212504120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212504120 is an abundant number, since it is smaller than the sum of its proper divisors (267167080).

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

212504120 is a wasteful number, since it uses less digits than its factorization.

212504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 212504120 is about 14577.5210512625. The cubic root of 212504120 is about 596.7454525276.

Adding to 212504120 its reverse (21405212), we get a palindrome (233909332).

The spelling of 212504120 in words is "two hundred twelve million, five hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 3170 6340 12680 16759 33518 67036 83795 134072 167590 335180 670360 5312603 10625206 21250412 26563015 42500824 53126030 106252060 212504120