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20804640 = 253589487
BaseRepresentation
bin100111101011…
…1010000100000
31110010222121020
41033113100200
520311222030
62021525440
7341556633
oct117272040
943128536
1020804640
111081a91a
126b73880
13440574c
142a97c1a
151c5e510
hex13d7420

20804640 has 96 divisors (see below), whose sum is σ = 66407040. Its totient is φ = 5474304.

The previous prime is 20804611. The next prime is 20804653. The reversal of 20804640 is 4640802.

20804640 = T939 + T940 + ... + T983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20804640.

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 15 ways as a sum of consecutive naturals, for example, 42477 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 220804640 is an apocalyptic number.

20804640 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 20804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203520).

20804640 is an abundant number, since it is smaller than the sum of its proper divisors (45602400).

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

20804640 is a wasteful number, since it uses less digits than its factorization.

20804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20804640 is about 4561.2103656815. The cubic root of 20804640 is about 275.0342216365.

The spelling of 20804640 in words is "twenty million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 487 534 712 890 974 1068 1335 1424 1461 1780 1948 2136 2435 2670 2848 2922 3560 3896 4272 4870 5340 5844 7120 7305 7792 8544 9740 10680 11688 14240 14610 15584 19480 21360 23376 29220 38960 42720 43343 46752 58440 77920 86686 116880 130029 173372 216715 233760 260058 346744 433430 520116 650145 693488 866860 1040232 1300290 1386976 1733720 2080464 2600580 3467440 4160928 5201160 6934880 10402320 20804640