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6963138 = 2337132109
BaseRepresentation
bin11010100011111111000010
3111002202122000
4122203333002
53240310023
6405124430
7113120460
oct32437702
914082560
106963138
113a26566
1223b9716
13159a500
14cd3830
15928243
hex6a3fc2

6963138 has 96 divisors (see below), whose sum is σ = 19324800. Its totient is φ = 1819584.

The previous prime is 6963137. The next prime is 6963157. The reversal of 6963138 is 8313696.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6963133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63828 + ... + 63936.

It is an arithmetic number, because the mean of its divisors is an integer number (201300).

Almost surely, 26963138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6963138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662400).

6963138 is an abundant number, since it is smaller than the sum of its proper divisors (12361662).

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

6963138 is a wasteful number, since it uses less digits than its factorization.

6963138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 6963138 is about 2638.7758525498. The cubic root of 6963138 is about 190.9567439484.

The spelling of 6963138 in words is "six million, nine hundred sixty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 109 117 126 169 182 189 218 234 273 327 338 351 378 507 546 654 702 763 819 981 1014 1183 1417 1521 1526 1638 1962 2289 2366 2457 2834 2943 3042 3549 4251 4563 4578 4914 5886 6867 7098 8502 9126 9919 10647 12753 13734 18421 19838 20601 21294 25506 29757 31941 36842 38259 41202 55263 59514 63882 76518 89271 110526 128947 165789 178542 257894 267813 331578 386841 497367 535626 773682 994734 1160523 2321046 3481569 6963138