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9720096 = 25319732
BaseRepresentation
bin100101000101…
…000100100000
3200021211110120
4211011010200
54442020341
6544200240
7145422321
oct45050440
920254416
109720096
115539941
123309080
132024349
141410448
15cc0066
hex945120

9720096 has 72 divisors (see below), whose sum is σ = 27231120. Its totient is φ = 3027456.

The previous prime is 9720089. The next prime is 9720097. The reversal of 9720096 is 6900279.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (9720097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133116 + ... + 133188.

It is an arithmetic number, because the mean of its divisors is an integer number (378210).

Almost surely, 29720096 is an apocalyptic number.

9720096 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 9720096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615560).

9720096 is an abundant number, since it is smaller than the sum of its proper divisors (17511024).

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

9720096 is a wasteful number, since it uses less digits than its factorization.

9720096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 9720096 is about 3117.7068495931. The cubic root of 9720096 is about 213.4143008633.

The spelling of 9720096 in words is "nine million, seven hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 114 146 152 219 228 292 304 438 456 584 608 876 912 1168 1387 1752 1824 2336 2774 3504 4161 5329 5548 7008 8322 10658 11096 15987 16644 21316 22192 31974 33288 42632 44384 63948 66576 85264 101251 127896 133152 170528 202502 255792 303753 405004 511584 607506 810008 1215012 1620016 2430024 3240032 4860048 9720096