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20679480 = 233251731109
BaseRepresentation
bin100111011100…
…0101100111000
31102220121220200
41032320230320
520243220410
62015122200
7340526013
oct116705470
942817820
1020679480
1110744888
126b13360
1343907a3
142a6437a
151c373c0
hex13b8b38

20679480 has 192 divisors, whose sum is σ = 74131200. Its totient is φ = 4976640.

The previous prime is 20679479. The next prime is 20679499. The reversal of 20679480 is 8497602.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 189666 + ... + 189774.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 220679480 is an apocalyptic number.

20679480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20679480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065600).

20679480 is an abundant number, since it is smaller than the sum of its proper divisors (53451720).

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

20679480 is a wasteful number, since it uses less digits than its factorization.

20679480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20679480 is about 4547.4696260668. The cubic root of 20679480 is about 274.4815797806.

The spelling of 20679480 in words is "twenty million, six hundred seventy-nine thousand, four hundred eighty".