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9996630 = 2357181263
BaseRepresentation
bin100110001000…
…100101010110
3200210212210120
4212020211112
510024343010
6554132410
7150653460
oct46104526
920725716
109996630
115708686
123421106
1320c0187
141483130
15d26e70
hex988956

9996630 has 64 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 2263680.

The previous prime is 9996617. The next prime is 9996631. The reversal of 9996630 is 366999.

It is a super-2 number, since 2×99966302 = 199865222713800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9996631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37879 + ... + 38141.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 29996630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824).

9996630 is an abundant number, since it is smaller than the sum of its proper divisors (17679018).

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

9996630 is a wasteful number, since it uses less digits than its factorization.

9996630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 9996630 is about 3161.7447714830. The cubic root of 9996630 is about 215.4192648010.

The spelling of 9996630 in words is "nine million, nine hundred ninety-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 181 210 263 362 526 543 789 905 1086 1267 1315 1578 1810 1841 2534 2630 2715 3682 3801 3945 5430 5523 6335 7602 7890 9205 11046 12670 18410 19005 27615 38010 47603 55230 95206 142809 238015 285618 333221 476030 666442 714045 999663 1428090 1666105 1999326 3332210 4998315 9996630