Search a number
-
+
20904804 = 223667107
BaseRepresentation
bin100111110111…
…1101101100100
31110100002000000
41033233231210
520322423204
62024021300
7342454644
oct117575544
943302000
1020904804
11108890a8
127001830
13443c20b
142ac2524
151c7e039
hex13efb64

20904804 has 84 divisors (see below), whose sum is σ = 56188944. Its totient is φ = 6800112.

The previous prime is 20904803. The next prime is 20904811. The reversal of 20904804 is 40840902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20904803) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 195319 + ... + 195425.

It is an arithmetic number, because the mean of its divisors is an integer number (668916).

Almost surely, 220904804 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 20904804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094472).

20904804 is an abundant number, since it is smaller than the sum of its proper divisors (35284140).

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

20904804 is a wasteful number, since it uses less digits than its factorization.

20904804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20904804 is about 4572.1771619219. The cubic root of 20904804 is about 275.4748995306.

The spelling of 20904804 in words is "twenty million, nine hundred four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 107 108 134 162 201 214 243 268 321 324 402 428 486 603 642 729 804 963 972 1206 1284 1458 1809 1926 2412 2889 2916 3618 3852 5427 5778 7169 7236 8667 10854 11556 14338 16281 17334 21507 21708 26001 28676 32562 34668 43014 48843 52002 64521 65124 78003 86028 97686 104004 129042 156006 193563 195372 258084 312012 387126 580689 774252 1161378 1742067 2322756 3484134 5226201 6968268 10452402 20904804