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20810320 = 2451913691
BaseRepresentation
bin100111101100…
…0101001010000
31110011021101121
41033120221100
520311412240
62022012024
7341612326
oct117305120
943137347
1020810320
1110824113
126b77014
1344081cb
142a99d16
151c6104a
hex13d8a50

20810320 has 40 divisors (see below), whose sum is σ = 50934240. Its totient is φ = 7885440.

The previous prime is 20810287. The next prime is 20810353. The reversal of 20810320 is 2301802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20810287) and next prime (20810353).

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20810294 and 20810303.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5326 + ... + 8365.

It is an arithmetic number, because the mean of its divisors is an integer number (1273356).

Almost surely, 220810320 is an apocalyptic number.

20810320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20810320 is an abundant number, since it is smaller than the sum of its proper divisors (30123920).

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

20810320 is a wasteful number, since it uses less digits than its factorization.

20810320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20810320 is about 4561.8329649385. The cubic root of 20810320 is about 275.0592489418.

The spelling of 20810320 in words is "twenty million, eight hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 13691 27382 54764 68455 109528 136910 219056 260129 273820 520258 547640 1040516 1095280 1300645 2081032 2601290 4162064 5202580 10405160 20810320