Search a number
-
+
13618220 = 22571137239
BaseRepresentation
bin110011111100…
…110000101100
3221121212200112
4303330300230
511441240340
61203515152
7223516160
oct63746054
927555615
1013618220
117761630
124688ab8
132a8a725
141b46ca0
1512e0065
hexcfcc2c

13618220 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 4112640.

The previous prime is 13618217. The next prime is 13618249. The reversal of 13618220 is 2281631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56861 + ... + 57099.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 213618220 is an apocalyptic number.

13618220 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 13618220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

13618220 is an abundant number, since it is smaller than the sum of its proper divisors (23153620).

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

13618220 is a wasteful number, since it uses less digits than its factorization.

13618220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13618220 is about 3690.2872516919. The cubic root of 13618220 is about 238.8031852493.

Adding to 13618220 its reverse (2281631), we get a palindrome (15899851).

The spelling of 13618220 in words is "thirteen million, six hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 140 148 154 185 220 239 259 308 370 385 407 478 518 740 770 814 956 1036 1195 1295 1540 1628 1673 2035 2390 2590 2629 2849 3346 4070 4780 5180 5258 5698 6692 8140 8365 8843 10516 11396 13145 14245 16730 17686 18403 26290 28490 33460 35372 36806 44215 52580 56980 61901 73612 88430 92015 97273 123802 176860 184030 194546 247604 309505 368060 389092 486365 619010 680911 972730 1238020 1361822 1945460 2723644 3404555 6809110 13618220