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213006320 = 2455095231
BaseRepresentation
bin11001011001000…
…11011111110000
3112211210211201222
430230203133300
5414012200240
633045244212
75164344452
oct1454433760
9484724658
10213006320
11aa26688a
125b403668
133518c357
142040a2d2
1513a77eb5
hexcb237f0

213006320 has 40 divisors (see below), whose sum is σ = 496307520. Its totient is φ = 85018880.

The previous prime is 213006259. The next prime is 213006331. The reversal of 213006320 is 23600312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38105 + ... + 43335.

It is an arithmetic number, because the mean of its divisors is an integer number (12407688).

Almost surely, 2213006320 is an apocalyptic number.

213006320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213006320 is an abundant number, since it is smaller than the sum of its proper divisors (283301200).

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

213006320 is a wasteful number, since it uses less digits than its factorization.

213006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213006320 is about 14594.7360373526. The cubic root of 213006320 is about 597.2151685949.

Adding to 213006320 its reverse (23600312), we get a palindrome (236606632).

The spelling of 213006320 in words is "two hundred thirteen million, six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 509 1018 2036 2545 4072 5090 5231 8144 10180 10462 20360 20924 26155 40720 41848 52310 83696 104620 209240 418480 2662579 5325158 10650316 13312895 21300632 26625790 42601264 53251580 106503160 213006320