Search a number
-
+
6376968 = 233413757
BaseRepresentation
bin11000010100111000001000
3102222222120000
4120110320020
53113030333
6344403000
7105126513
oct30247010
912888500
106376968
113666124
122176460
131423770
14bbdd7a
1585e713
hex614e08

6376968 has 80 divisors (see below), whose sum is σ = 19260780. Its totient is φ = 1959552.

The previous prime is 6376933. The next prime is 6376969. The reversal of 6376968 is 8696736.

6376968 is a `hidden beast` number, since 637 + 6 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6260004 + 116964 = 2502^2 + 342^2 .

It is a super-3 number, since 3×63769683 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6376969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8046 + ... + 8802.

Almost surely, 26376968 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 6376968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630390).

6376968 is an abundant number, since it is smaller than the sum of its proper divisors (12883812).

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

6376968 is a wasteful number, since it uses less digits than its factorization.

6376968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6376968 is about 2525.2659265907. The cubic root of 6376968 is about 185.4405667350.

The spelling of 6376968 in words is "six million, three hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 757 936 1053 1404 1514 2106 2271 2808 3028 4212 4542 6056 6813 8424 9084 9841 13626 18168 19682 20439 27252 29523 39364 40878 54504 59046 61317 78728 81756 88569 118092 122634 163512 177138 236184 245268 265707 354276 490536 531414 708552 797121 1062828 1594242 2125656 3188484 6376968