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20479680 = 2632513547
BaseRepresentation
bin100111000011…
…1111011000000
31102112110211200
41032013323000
520220322210
62010541200
7336034344
oct116077300
942473750
1020479680
1110618761
126a37800
134320870
142a11624
151be80c0
hex1387ec0

20479680 has 168 divisors, whose sum is σ = 75998832. Its totient is φ = 5031936.

The previous prime is 20479643. The next prime is 20479681. The reversal of 20479680 is 8697402.

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

It is not an unprimeable number, because it can be changed into a prime (20479681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37167 + ... + 37713.

It is an arithmetic number, because the mean of its divisors is an integer number (452374).

Almost surely, 220479680 is an apocalyptic number.

20479680 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 20479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37999416).

20479680 is an abundant number, since it is smaller than the sum of its proper divisors (55519152).

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

20479680 is a wasteful number, since it uses less digits than its factorization.

20479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

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

The square root of 20479680 is about 4525.4480441167. The cubic root of 20479680 is about 273.5947264809.

The spelling of 20479680 in words is "twenty million, four hundred seventy-nine thousand, six hundred eighty".