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212830760 = 23535315073
BaseRepresentation
bin11001010111110…
…00101000101000
3112211110220220202
430223320220220
5413441041020
633041411332
75163013562
oct1453705050
9484426822
10212830760
11aa15699a
125b339b48
133512a47c
14203a2332
1513a40e75
hexcaf8a28

212830760 has 32 divisors (see below), whose sum is σ = 480257640. Its totient is φ = 84885504.

The previous prime is 212830757. The next prime is 212830777. The reversal of 212830760 is 67038212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160326244 + 52504516 = 12662^2 + 7246^2 .

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, 6584 + ... + 21656.

Almost surely, 2212830760 is an apocalyptic number.

212830760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212830760 is an abundant number, since it is smaller than the sum of its proper divisors (267426880).

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

212830760 is a wasteful number, since it uses less digits than its factorization.

212830760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15437 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 212830760 is about 14588.7203002868. The cubic root of 212830760 is about 597.0510484047.

Adding to 212830760 its reverse (67038212), we get a palindrome (279868972).

The spelling of 212830760 in words is "two hundred twelve million, eight hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 353 706 1412 1765 2824 3530 7060 14120 15073 30146 60292 75365 120584 150730 301460 602920 5320769 10641538 21283076 26603845 42566152 53207690 106415380 212830760