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213400580 = 22510670029
BaseRepresentation
bin11001011100000…
…11110000000100
3112212112212120012
430232003300010
5414112304310
633101525352
75200606061
oct1456036004
9485485505
10213400580
11aa506018
125b573858
1335299943
14204adc68
1513b04c05
hexcb83c04

213400580 has 12 divisors (see below), whose sum is σ = 448141260. Its totient is φ = 85360224.

The previous prime is 213400573. The next prime is 213400619. The reversal of 213400580 is 85004312.

It can be written as a sum of positive squares in 2 ways, for example, as 101929216 + 111471364 = 10096^2 + 10558^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5334995 + ... + 5335034.

It is an arithmetic number, because the mean of its divisors is an integer number (37345105).

Almost surely, 2213400580 is an apocalyptic number.

213400580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400580 is an abundant number, since it is smaller than the sum of its proper divisors (234740680).

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

213400580 is a wasteful number, since it uses less digits than its factorization.

213400580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670038 (or 10670036 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 213400580 is about 14608.2367176877. The cubic root of 213400580 is about 597.5834095143.

Adding to 213400580 its reverse (85004312), we get a palindrome (298404892).

The spelling of 213400580 in words is "two hundred thirteen million, four hundred thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 10670029 21340058 42680116 53350145 106700290 213400580