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213287340 = 22357507827
BaseRepresentation
bin11001011011010…
…00000110101100
3112212100010020010
430231220012230
5414100143330
633055253220
75166624660
oct1455500654
9485303203
10213287340
11aa438a32
125b51a210
133525a236
14204808a0
1513ad13b0
hexcb681ac

213287340 has 48 divisors (see below), whose sum is σ = 682520832. Its totient is φ = 48751296.

The previous prime is 213287309. The next prime is 213287357. The reversal of 213287340 is 43782312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213287298 and 213287307.

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 15 ways as a sum of consecutive naturals, for example, 253494 + ... + 254333.

It is an arithmetic number, because the mean of its divisors is an integer number (14219184).

Almost surely, 2213287340 is an apocalyptic number.

213287340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213287340 is an abundant number, since it is smaller than the sum of its proper divisors (469233492).

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

213287340 is a wasteful number, since it uses less digits than its factorization.

213287340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507846 (or 507844 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 213287340 is about 14604.3603077985. The cubic root of 213287340 is about 597.4776892167.

The spelling of 213287340 in words is "two hundred thirteen million, two hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 507827 1015654 1523481 2031308 2539135 3046962 3554789 5078270 6093924 7109578 7617405 10156540 10664367 14219156 15234810 17773945 21328734 30469620 35547890 42657468 53321835 71095780 106643670 213287340