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20806752 = 253732969
BaseRepresentation
bin100111101011…
…1110001100000
31110011002111110
41033113301200
520311304002
62021543320
7341566041
oct117276140
943132443
1020806752
111082146a
126b74b40
1344066b5
142a988c8
151c5ee6c
hex13d7c60

20806752 has 48 divisors (see below), whose sum is σ = 55384560. Its totient is φ = 6838272.

The previous prime is 20806741. The next prime is 20806769. The reversal of 20806752 is 25760802.

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

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, 5524 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (1153845).

Almost surely, 220806752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20806752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27692280).

20806752 is an abundant number, since it is smaller than the sum of its proper divisors (34577808).

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

20806752 is a wasteful number, since it uses less digits than its factorization.

20806752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 20806752 is about 4561.4418773015. The cubic root of 20806752 is about 275.0435280961.

The spelling of 20806752 in words is "twenty million, eight hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 2969 3504 5938 7008 8907 11876 17814 23752 35628 47504 71256 95008 142512 216737 285024 433474 650211 866948 1300422 1733896 2600844 3467792 5201688 6935584 10403376 20806752