Base | Representation |
---|---|
bin | 100101111111… |
… | …000101000000 |
3 | 200201220101120 |
4 | 211333011000 |
5 | 10022121241 |
6 | 553232240 |
7 | 150432120 |
oct | 45770500 |
9 | 20656346 |
10 | 9957696 |
11 | 5691401 |
12 | 3402680 |
13 | 20a8538 |
14 | 1472c80 |
15 | d1a666 |
hex | 97f140 |
9957696 has 112 divisors (see below), whose sum is σ = 31211520. Its totient is φ = 2741760.
The previous prime is 9957683. The next prime is 9957697. The reversal of 9957696 is 6967599.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9957697) by changing a digit.
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, 41545 + ... + 41783.
Almost surely, 29957696 is an apocalyptic number.
9957696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605760).
9957696 is an abundant number, since it is smaller than the sum of its proper divisors (21253824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9957696 is a wasteful number, since it uses less digits than its factorization.
9957696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 282 counting only the distinct ones).
The product of its digits is 918540, while the sum is 51.
The square root of 9957696 is about 3155.5817213313. The cubic root of 9957696 is about 215.1392355722.
The spelling of 9957696 in words is "nine million, nine hundred fifty-seven thousand, six hundred ninety-six".
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