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9995964 = 22311411847
BaseRepresentation
bin100110001000…
…011010111100
3200210211212220
4212020122330
510024332324
6554125340
7150651516
oct46103274
920724786
109995964
115708130
123420850
1320bca94
141482bb6
15d26b79
hex9886bc

9995964 has 48 divisors (see below), whose sum is σ = 26078976. Its totient is φ = 2953600.

The previous prime is 9995927. The next prime is 9995971. The reversal of 9995964 is 4695999.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4489 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (543312).

Almost surely, 29995964 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 9995964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039488).

9995964 is an abundant number, since it is smaller than the sum of its proper divisors (16083012).

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

9995964 is a wasteful number, since it uses less digits than its factorization.

9995964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1904 counting only the distinct ones).

The product of its digits is 787320, while the sum is 51.

The square root of 9995964 is about 3161.6394481345. The cubic root of 9995964 is about 215.4144807749.

The spelling of 9995964 in words is "nine million, nine hundred ninety-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 1847 2706 3694 5412 5541 7388 11082 20317 22164 40634 60951 75727 81268 121902 151454 227181 243804 302908 454362 832997 908724 1665994 2498991 3331988 4997982 9995964