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212840 = 23517313
BaseRepresentation
bin110011111101101000
3101210221222
4303331220
523302330
64321212
71544345
oct637550
9353858
10212840
11135a01
12a3208
1375b54
14577cc
15430e5
hex33f68

212840 has 32 divisors (see below), whose sum is σ = 508680. Its totient is φ = 79872.

The previous prime is 212837. The next prime is 212843. The reversal of 212840 is 48212.

212840 = T121 + T122 + ... + T144.

212840 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (212837) and next prime (212843).

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 81796 = 362^2 + 286^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (212843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 836.

2212840 is an apocalyptic number.

212840 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 212840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254340).

212840 is an abundant number, since it is smaller than the sum of its proper divisors (295840).

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

212840 is a wasteful number, since it uses less digits than its factorization.

212840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 212840 is about 461.3458572481. The cubic root of 212840 is about 59.7059688559.

The spelling of 212840 in words is "two hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 313 340 626 680 1252 1565 2504 3130 5321 6260 10642 12520 21284 26605 42568 53210 106420 212840