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9996680 = 2351761241
BaseRepresentation
bin100110001000…
…100110001000
3200210212212102
4212020212020
510024343210
6554132532
7150653561
oct46104610
920725772
109996680
115708721
123421148
1320c01c5
141483168
15d26ea5
hex988988

9996680 has 64 divisors (see below), whose sum is σ = 24306480. Its totient is φ = 3686400.

The previous prime is 9996673. The next prime is 9996703. The reversal of 9996680 is 866999.

9996680 = T159 + T160 + ... + T399.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4072324 + 5924356 = 2018^2 + 2434^2 .

It is a super-2 number, since 2×99966802 = 199867222044800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41360 + ... + 41600.

Almost surely, 29996680 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 9996680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153240).

9996680 is an abundant number, since it is smaller than the sum of its proper divisors (14309800).

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

9996680 is a wasteful number, since it uses less digits than its factorization.

9996680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 9996680 is about 3161.7526784997. The cubic root of 9996680 is about 215.4196239536.

The spelling of 9996680 in words is "nine million, nine hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 241 244 305 340 482 488 610 680 964 1037 1205 1220 1928 2074 2410 2440 4097 4148 4820 5185 8194 8296 9640 10370 14701 16388 20485 20740 29402 32776 40970 41480 58804 73505 81940 117608 147010 163880 249917 294020 499834 588040 999668 1249585 1999336 2499170 4998340 9996680