Search a number
-
+
20164380 = 22351753373
BaseRepresentation
bin100110011101…
…0111100011100
31101221110022220
41030322330130
520130230010
62000105340
7333252165
oct114727434
941843286
1020164380
1110422885
126905250
1342401b2
14296c76c
151b84970
hex133af1c

20164380 has 96 divisors (see below), whose sum is σ = 61072704. Its totient is φ = 4952064.

The previous prime is 20164379. The next prime is 20164381. The reversal of 20164380 is 8346102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20164379) and next prime (20164381).

It is a self number, because there is not a number n which added to its sum of digits gives 20164380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20164381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53874 + ... + 54246.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 220164380 is an apocalyptic number.

20164380 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 20164380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30536352).

20164380 is an abundant number, since it is smaller than the sum of its proper divisors (40908324).

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

20164380 is a wasteful number, since it uses less digits than its factorization.

20164380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20164380 is about 4490.4765894056. The cubic root of 20164380 is about 272.1833934777.

The spelling of 20164380 in words is "twenty million, one hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 373 510 530 636 746 795 901 1020 1060 1119 1492 1590 1802 1865 2238 2703 3180 3604 3730 4476 4505 5406 5595 6341 7460 9010 10812 11190 12682 13515 18020 19023 19769 22380 25364 27030 31705 38046 39538 54060 59307 63410 76092 79076 95115 98845 118614 126820 190230 197690 237228 296535 336073 380460 395380 593070 672146 1008219 1186140 1344292 1680365 2016438 3360730 4032876 5041095 6721460 10082190 20164380