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10396962 = 2321761557
BaseRepresentation
bin100111101010…
…010100100010
3201120012221200
4213222110202
510130200322
61010502030
7154241562
oct47522442
921505850
1010396962
115961434
123594916
132200464
141548da2
15da58ac
hex9ea522

10396962 has 48 divisors (see below), whose sum is σ = 24286392. Its totient is φ = 3202560.

The previous prime is 10396949. The next prime is 10396973. The reversal of 10396962 is 26969301.

It can be written as a sum of positive squares in 4 ways, for example, as 5157441 + 5239521 = 2271^2 + 2289^2 .

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 23 ways as a sum of consecutive naturals, for example, 18388 + ... + 18944.

Almost surely, 210396962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10396962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143196).

10396962 is an abundant number, since it is smaller than the sum of its proper divisors (13889430).

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

10396962 is a wasteful number, since it uses less digits than its factorization.

10396962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 10396962 is about 3224.4320430116. The cubic root of 10396962 is about 218.2573203655.

It can be divided in two parts, 1039 and 6962, that added together give a triangular number (8001 = T126).

The spelling of 10396962 in words is "ten million, three hundred ninety-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 557 1037 1098 1114 1671 2074 3111 3342 5013 6222 9333 9469 10026 18666 18938 28407 33977 56814 67954 85221 101931 170442 203862 305793 577609 611586 1155218 1732827 3465654 5198481 10396962