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213403320 = 233251345599
BaseRepresentation
bin11001011100001…
…00011010111000
3112212120000022200
430232010122320
5414112401240
633101550200
75200620054
oct1456043270
9485500280
10213403320
11aa508089
125b575360
133529ac70
14204b0c64
1513b05930
hexcb846b8

213403320 has 96 divisors (see below), whose sum is σ = 746928000. Its totient is φ = 52528896.

The previous prime is 213403303. The next prime is 213403321. The reversal of 213403320 is 23304312.

213403320 is a `hidden beast` number, since 2 + 1 + 340 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213403293 and 213403302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213403321) 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 23 ways as a sum of consecutive naturals, for example, 18120 + ... + 27479.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2213403320 is an apocalyptic number.

213403320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213403320 is an abundant number, since it is smaller than the sum of its proper divisors (533524680).

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

213403320 is a wasteful number, since it uses less digits than its factorization.

213403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45629 (or 45622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213403320 is about 14608.3305000948. The cubic root of 213403320 is about 597.5859671011.

Adding to 213403320 its reverse (23304312), we get a palindrome (236707632).

The spelling of 213403320 in words is "two hundred thirteen million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 45599 91198 136797 182396 227995 273594 364792 410391 455990 547188 592787 683985 820782 911980 1094376 1185574 1367970 1641564 1778361 1823960 2051955 2371148 2735940 2963935 3283128 3556722 4103910 4742296 5335083 5471880 5927870 7113444 8207820 8891805 10670166 11855740 14226888 16415640 17783610 21340332 23711480 26675415 35567220 42680664 53350830 71134440 106701660 213403320