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213081160 = 2357372973
BaseRepresentation
bin11001011001101…
…01110001001000
3112211221122101211
430230311301020
5414022044120
633051022504
75165105605
oct1454656110
9484848354
10213081160
11aa308036
125b43aa34
13351b7436
14204296ac
1513a9025a
hexcb35c48

213081160 has 32 divisors (see below), whose sum is σ = 486006840. Its totient is φ = 84063744.

The previous prime is 213081149. The next prime is 213081163. The reversal of 213081160 is 61180312.

It can be written as a sum of positive squares in 4 ways, for example, as 166048996 + 47032164 = 12886^2 + 6858^2 .

It is not an unprimeable number, because it can be changed into a prime (213081163) by changing a digit.

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, 33567 + ... + 39406.

Almost surely, 2213081160 is an apocalyptic number.

213081160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213081160 is an abundant number, since it is smaller than the sum of its proper divisors (272925680).

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

213081160 is a wasteful number, since it uses less digits than its factorization.

213081160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73057 (or 73053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 213081160 is about 14597.2997502963. The cubic root of 213081160 is about 597.2851044691.

The spelling of 213081160 in words is "two hundred thirteen million, eighty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 72973 145946 291892 364865 583784 729730 1459460 2918920 5327029 10654058 21308116 26635145 42616232 53270290 106540580 213081160