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9939696 = 2431317937
BaseRepresentation
bin100101111010…
…101011110000
3200200222200220
4211322223300
510021032241
6553013040
7150325464
oct45725360
920628626
109939696
115679928
1233b4180
1320a02a0
14146a4a4
15d15166
hex97aaf0

9939696 has 80 divisors (see below), whose sum is σ = 29310624. Its totient is φ = 2875392.

The previous prime is 9939667. The next prime is 9939707. The reversal of 9939696 is 6969399.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (708588) is a multiple of the sum of its prime divisors (972).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10140 + ... + 11076.

Almost surely, 29939696 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 9939696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655312).

9939696 is an abundant number, since it is smaller than the sum of its proper divisors (19370928).

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

9939696 is a wasteful number, since it uses less digits than its factorization.

9939696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its digits is 708588, while the sum is 51.

The square root of 9939696 is about 3152.7283422458. The cubic root of 9939696 is about 215.0095254478.

The spelling of 9939696 in words is "nine million, nine hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 937 1326 1768 1874 2652 2811 3536 3748 5304 5622 7496 10608 11244 12181 14992 15929 22488 24362 31858 36543 44976 47787 48724 63716 73086 95574 97448 127432 146172 191148 194896 207077 254864 292344 382296 414154 584688 621231 764592 828308 1242462 1656616 2484924 3313232 4969848 9939696