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213297760 = 25513102547
BaseRepresentation
bin11001011011010…
…10101001100000
3112212100122112001
430231222221200
5414101012020
633055413344
75200000234
oct1455525140
9485318461
10213297760
11aa445845
125b524254
1335261bc0
14204845c4
1513ad450a
hexcb6aa60

213297760 has 48 divisors (see below), whose sum is σ = 542684016. Its totient is φ = 78755328.

The previous prime is 213297731. The next prime is 213297787. The reversal of 213297760 is 67792312.

It is a congruent number.

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, 49194 + ... + 53353.

It is an arithmetic number, because the mean of its divisors is an integer number (11305917).

Almost surely, 2213297760 is an apocalyptic number.

213297760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213297760 is an abundant number, since it is smaller than the sum of its proper divisors (329386256).

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

213297760 is a wasteful number, since it uses less digits than its factorization.

213297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102575 (or 102567 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 213297760 is about 14604.7170462149. The cubic root of 213297760 is about 597.4874188396.

The spelling of 213297760 in words is "two hundred thirteen million, two hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 102547 205094 410188 512735 820376 1025470 1333111 1640752 2050940 2666222 3281504 4101880 5332444 6665555 8203760 10664888 13331110 16407520 21329776 26662220 42659552 53324440 106648880 213297760