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20606680 = 2354797113
BaseRepresentation
bin100111010011…
…0111011011000
31102202221001101
41032212323120
520233403210
62013401144
7340103533
oct116467330
942687041
1020606680
11106a5116
126a991b4
134366603
142a45a1a
151c20a3a
hex13a6ed8

20606680 has 64 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 7913472.

The previous prime is 20606627. The next prime is 20606681. The reversal of 20606680 is 8660602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20606681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182304 + ... + 182416.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 220606680 is an apocalyptic number.

20606680 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 20606680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

20606680 is an abundant number, since it is smaller than the sum of its proper divisors (27656360).

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

20606680 is a wasteful number, since it uses less digits than its factorization.

20606680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 20606680 is about 4539.4581174409. The cubic root of 20606680 is about 274.1591062710.

The spelling of 20606680 in words is "twenty million, six hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 97 113 188 194 226 235 376 388 452 470 485 565 776 904 940 970 1130 1880 1940 2260 3880 4520 4559 5311 9118 10622 10961 18236 21244 21922 22795 26555 36472 42488 43844 45590 53110 54805 87688 91180 106220 109610 182360 212440 219220 438440 515167 1030334 2060668 2575835 4121336 5151670 10303340 20606680