Search a number
-
+
6131268 = 22331113397
BaseRepresentation
bin10111011000111001000100
3102112111112000
4113120321010
53032200033
6335225300
7103054263
oct27307104
912474460
106131268
113508570
122078230
131368990
14b585da
15811a13
hex5d8e44

6131268 has 96 divisors (see below), whose sum is σ = 18721920. Its totient is φ = 1710720.

The previous prime is 6131239. The next prime is 6131297. The reversal of 6131268 is 8621316.

It is an interprime number because it is at equal distance from previous prime (6131239) and next prime (6131297).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15246 + ... + 15642.

It is an arithmetic number, because the mean of its divisors is an integer number (195020).

Almost surely, 26131268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6131268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360960).

6131268 is an abundant number, since it is smaller than the sum of its proper divisors (12590652).

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

6131268 is a wasteful number, since it uses less digits than its factorization.

6131268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6131268 is about 2476.1397375754. The cubic root of 6131268 is about 183.0276765450.

It can be divided in two parts, 613 and 1268, that added together give a palindrome (1881).

The spelling of 6131268 in words is "six million, one hundred thirty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 397 429 468 572 594 702 794 858 1188 1191 1287 1404 1588 1716 2382 2574 3573 3861 4367 4764 5148 5161 7146 7722 8734 10322 10719 13101 14292 15444 15483 17468 20644 21438 26202 30966 39303 42876 46449 52404 56771 61932 78606 92898 113542 117909 139347 157212 170313 185796 227084 235818 278694 340626 471636 510939 557388 681252 1021878 1532817 2043756 3065634 6131268