Search a number
-
+
113310420 = 223523471747
BaseRepresentation
bin1101100000011…
…11101011010100
321220012202200020
412300033223110
5213001413140
615124345140
72544060036
oct660175324
9256182606
10113310420
1158a62883
1231b451b0
131a6240b2
1411097c56
159e336d0
hex6c0fad4

113310420 has 96 divisors (see below), whose sum is σ = 338300928. Its totient is φ = 28271232.

The previous prime is 113310419. The next prime is 113310427. The reversal of 113310420 is 24013311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113310420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113310427) 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, 63987 + ... + 65733.

It is an arithmetic number, because the mean of its divisors is an integer number (3523968).

Almost surely, 2113310420 is an apocalyptic number.

113310420 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 113310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169150464).

113310420 is an abundant number, since it is smaller than the sum of its proper divisors (224990508).

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

113310420 is a wasteful number, since it uses less digits than its factorization.

113310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113310420 is about 10644.7367276039. The cubic root of 113310420 is about 483.9011079061.

Adding to 113310420 its reverse (24013311), we get a palindrome (137323731).

The spelling of 113310420 in words is "one hundred thirteen million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1380 1410 1747 2162 2820 3243 3494 4324 5241 5405 6486 6988 8735 10482 10810 12972 16215 17470 20964 21620 26205 32430 34940 40181 52410 64860 80362 82109 104820 120543 160724 164218 200905 241086 246327 328436 401810 410545 482172 492654 602715 803620 821090 985308 1205430 1231635 1642180 1888507 2410860 2463270 3777014 4926540 5665521 7554028 9442535 11331042 18885070 22662084 28327605 37770140 56655210 113310420