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20916960 = 253543577
BaseRepresentation
bin100111111001…
…0101011100000
31110100200200020
41033302223200
520323320320
62024153440
7342535251
oct117625340
943320606
1020916960
1110897249
127008880
1344448cc
142ac6b28
151c82940
hex13f2ae0

20916960 has 48 divisors (see below), whose sum is σ = 65889936. Its totient is φ = 5577728.

The previous prime is 20916949. The next prime is 20916979. The reversal of 20916960 is 6961902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21309 + ... + 22268.

It is an arithmetic number, because the mean of its divisors is an integer number (1372707).

Almost surely, 220916960 is an apocalyptic number.

20916960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20916960 is an abundant number, since it is smaller than the sum of its proper divisors (44972976).

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

20916960 is a wasteful number, since it uses less digits than its factorization.

20916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43595 (or 43587 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 20916960 is about 4573.5063135411. The cubic root of 20916960 is about 275.5282847718.

The spelling of 20916960 in words is "twenty million, nine hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 43577 87154 130731 174308 217885 261462 348616 435770 522924 653655 697232 871540 1045848 1307310 1394464 1743080 2091696 2614620 3486160 4183392 5229240 6972320 10458480 20916960