Search a number
-
+
10636220 = 22571741109
BaseRepresentation
bin101000100100…
…101110111100
3202000101011002
4220210232330
510210324340
61015545432
7156256250
oct50445674
922011132
1010636220
116005171
12368b278
13228532a
1415ac260
15e01715
hexa24bbc

10636220 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3317760.

The previous prime is 10636211. The next prime is 10636231. The reversal of 10636220 is 2263601.

10636220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106362202 = 226258351776800, which contains 22 as substring.

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 = 10636192 and 10636201.

It is a congruent number.

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, 97526 + ... + 97634.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 210636220 is an apocalyptic number.

10636220 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 10636220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

10636220 is an abundant number, since it is smaller than the sum of its proper divisors (17305540).

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

10636220 is a wasteful number, since it uses less digits than its factorization.

10636220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10636220 is about 3261.3218179137. The cubic root of 10636220 is about 219.9188405869.

Adding to 10636220 its reverse (2263601), we get a palindrome (12899821).

The spelling of 10636220 in words is "ten million, six hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 109 119 140 164 170 205 218 238 287 340 410 436 476 545 574 595 697 763 820 1090 1148 1190 1394 1435 1526 1853 2180 2380 2788 2870 3052 3485 3706 3815 4469 4879 5740 6970 7412 7630 8938 9265 9758 12971 13940 15260 17876 18530 19516 22345 24395 25942 31283 37060 44690 48790 51884 62566 64855 75973 89380 97580 125132 129710 151946 156415 259420 303892 312830 379865 531811 625660 759730 1063622 1519460 2127244 2659055 5318110 10636220