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20679440 = 245733541
BaseRepresentation
bin100111011100…
…0101100010000
31102220121212012
41032320230100
520243220230
62015122052
7340525625
oct116705420
942817765
1020679440
1110744851
126b13328
134390772
142a6434c
151c37395
hex13b8b10

20679440 has 40 divisors (see below), whose sum is σ = 48752088. Its totient is φ = 8156160.

The previous prime is 20679433. The next prime is 20679469. The reversal of 20679440 is 4497602.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 18696976 = 1408^2 + 4324^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20679397 and 20679406.

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, 4070 + ... + 7610.

Almost surely, 220679440 is an apocalyptic number.

20679440 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 20679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24376044).

20679440 is an abundant number, since it is smaller than the sum of its proper divisors (28072648).

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

20679440 is a wasteful number, since it uses less digits than its factorization.

20679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 20679440 is about 4547.4652280144. The cubic root of 20679440 is about 274.4814028053.

The spelling of 20679440 in words is "twenty million, six hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 3541 5840 7082 14164 17705 28328 35410 56656 70820 141640 258493 283280 516986 1033972 1292465 2067944 2584930 4135888 5169860 10339720 20679440