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20056640 = 265233269
BaseRepresentation
bin100110010000…
…0101001000000
31101201222112112
41030200221000
520113303030
61553514452
7332323112
oct114405100
941658475
1020056640
111035993a
126872a28
134203146
1429413b2
151b62a95
hex1320a40

20056640 has 56 divisors (see below), whose sum is σ = 48143160. Its totient is φ = 7958528.

The previous prime is 20056607. The next prime is 20056669. The reversal of 20056640 is 4665002.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 19855936 = 448^2 + 4456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74426 + ... + 74694.

Almost surely, 220056640 is an apocalyptic number.

20056640 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 20056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071580).

20056640 is an abundant number, since it is smaller than the sum of its proper divisors (28086520).

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

20056640 is a wasteful number, since it uses less digits than its factorization.

20056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 20056640 is about 4478.4640224077. The cubic root of 20056640 is about 271.6977611708.

The spelling of 20056640 in words is "twenty million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 269 320 466 538 932 1076 1165 1345 1864 2152 2330 2690 3728 4304 4660 5380 7456 8608 9320 10760 14912 17216 18640 21520 37280 43040 62677 74560 86080 125354 250708 313385 501416 626770 1002832 1253540 2005664 2507080 4011328 5014160 10028320 20056640