[go: up one dir, main page]

Search a number
-
+
12661220 = 225111319233
BaseRepresentation
bin110000010011…
…000111100100
3212211020221002
4300103013210
511220124340
61131212432
7212422115
oct60230744
925736832
1012661220
117168620
1242a7118
132813c60
14197820c
1511a1715
hexc131e4

12661220 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4008960.

The previous prime is 12661213. The next prime is 12661241. The reversal of 12661220 is 2216621.

12661220 = T144 + T145 + ... + T428.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12661192 and 12661201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54224 + ... + 54456.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 212661220 is an apocalyptic number.

12661220 is a gapful number since it is divisible by the number (10) 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 12661220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12661220 is an abundant number, since it is smaller than the sum of its proper divisors (20360860).

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

12661220 is a wasteful number, since it uses less digits than its factorization.

12661220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12661220 is about 3558.2608111267. The cubic root of 12661220 is about 233.0729385383.

Adding to 12661220 its reverse (2216621), we get a palindrome (14877841).

The spelling of 12661220 in words is "twelve million, six hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 233 247 260 286 380 418 466 494 572 715 836 932 988 1045 1165 1235 1430 2090 2330 2470 2563 2717 2860 3029 4180 4427 4660 4940 5126 5434 6058 8854 10252 10868 12116 12815 13585 15145 17708 22135 25630 27170 30290 33319 44270 48697 51260 54340 57551 60580 66638 88540 97394 115102 133276 166595 194788 230204 243485 287755 333190 486970 575510 633061 666380 973940 1151020 1266122 2532244 3165305 6330610 12661220