Search a number
-
+
20002260 = 22354147173
BaseRepresentation
bin100110001001…
…1010111010100
31101122012221110
41030103113110
520110033020
61552415020
7332005425
oct114232724
941565843
1020002260
1110321aa3
126847470
1341b4475
14292964c
151b518e0
hex13135d4

20002260 has 96 divisors (see below), whose sum is σ = 58931712. Its totient is φ = 5063680.

The previous prime is 20002201. The next prime is 20002261. The reversal of 20002260 is 6220002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002261) 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, 115534 + ... + 115706.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 220002260 is an apocalyptic number.

20002260 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 20002260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29465856).

20002260 is an abundant number, since it is smaller than the sum of its proper divisors (38929452).

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

20002260 is a wasteful number, since it uses less digits than its factorization.

20002260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20002260 is about 4472.3886235434. The cubic root of 20002260 is about 271.4519855808.

Adding to 20002260 its reverse (6220002), we get a palindrome (26222262).

The spelling of 20002260 in words is "twenty million, two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 47 60 82 94 123 141 164 173 188 205 235 246 282 346 410 470 492 519 564 615 692 705 820 865 940 1038 1230 1410 1730 1927 2076 2460 2595 2820 3460 3854 5190 5781 7093 7708 8131 9635 10380 11562 14186 16262 19270 21279 23124 24393 28372 28905 32524 35465 38540 40655 42558 48786 57810 70930 81310 85116 97572 106395 115620 121965 141860 162620 212790 243930 333371 425580 487860 666742 1000113 1333484 1666855 2000226 3333710 4000452 5000565 6667420 10001130 20002260