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20683280 = 2452291129
BaseRepresentation
bin100111011100…
…1101000010000
31102220211010102
41032321220100
520243331110
62015151532
7340543052
oct116715020
942824112
1020683280
1110747722
126b155a8
134392437
142a658d2
151c385a5
hex13b9a10

20683280 has 40 divisors (see below), whose sum is σ = 48341400. Its totient is φ = 8229888.

The previous prime is 20683277. The next prime is 20683283. The reversal of 20683280 is 8238602.

It is an interprime number because it is at equal distance from previous prime (20683277) and next prime (20683283).

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 18421264 = 1504^2 + 4292^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683283) by changing a digit.

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, 17756 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (1208535).

Almost surely, 220683280 is an apocalyptic number.

20683280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20683280 is an abundant number, since it is smaller than the sum of its proper divisors (27658120).

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

20683280 is a wasteful number, since it uses less digits than its factorization.

20683280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 20683280 is about 4547.8874216497. The cubic root of 20683280 is about 274.4983913916.

The spelling of 20683280 in words is "twenty million, six hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1129 1145 1832 2258 2290 3664 4516 4580 5645 9032 9160 11290 18064 18320 22580 45160 90320 258541 517082 1034164 1292705 2068328 2585410 4136656 5170820 10341640 20683280