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9930720 = 2535171217
BaseRepresentation
bin100101111000…
…011111100000
3200200112101110
4211320133200
510020240340
6552503320
7150260352
oct45703740
920615343
109930720
115673108
1233aab40
132099187
1414670d2
15d12680
hex9787e0

9930720 has 96 divisors (see below), whose sum is σ = 33149088. Its totient is φ = 2490368.

The previous prime is 9930707. The next prime is 9930773. The reversal of 9930720 is 270399.

9930720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

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, 7552 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (345303).

Almost surely, 29930720 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 9930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574544).

9930720 is an abundant number, since it is smaller than the sum of its proper divisors (23218368).

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

9930720 is a wasteful number, since it uses less digits than its factorization.

9930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 9930720 is about 3151.3044917938. The cubic root of 9930720 is about 214.9447848116.

The spelling of 9930720 in words is "nine million, nine hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1217 1360 1632 2040 2434 2720 3651 4080 4868 6085 7302 8160 9736 12170 14604 18255 19472 20689 24340 29208 36510 38944 41378 48680 58416 62067 73020 82756 97360 103445 116832 124134 146040 165512 194720 206890 248268 292080 310335 331024 413780 496536 584160 620670 662048 827560 993072 1241340 1655120 1986144 2482680 3310240 4965360 9930720