Search a number
-
+
20164896 = 253323339
BaseRepresentation
bin100110011101…
…1000100100000
31101221111001000
41030323010200
520130234041
62000112000
7333253533
oct114730440
941844030
1020164896
1110423204
126905600
1342404bb
14296ca1a
151b84bb6
hex133b120

20164896 has 48 divisors (see below), whose sum is σ = 58816800. Its totient is φ = 6721344.

The previous prime is 20164883. The next prime is 20164901. The reversal of 20164896 is 69846102.

20164896 is a `hidden beast` number, since 2 + 0 + 1 + 648 + 9 + 6 = 666.

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

It is a super-3 number, since 3×201648963 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20164896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10806 + ... + 12533.

It is an arithmetic number, because the mean of its divisors is an integer number (1225350).

Almost surely, 220164896 is an apocalyptic number.

It is an amenable number.

20164896 is an abundant number, since it is smaller than the sum of its proper divisors (38651904).

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

20164896 is a wasteful number, since it uses less digits than its factorization.

20164896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23358 (or 23344 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20164896 is about 4490.5340439640. The cubic root of 20164896 is about 272.1857151531.

The spelling of 20164896 in words is "twenty million, one hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23339 46678 70017 93356 140034 186712 210051 280068 373424 420102 560136 630153 746848 840204 1120272 1260306 1680408 2240544 2520612 3360816 5041224 6721632 10082448 20164896