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9540020960 = 255232989393
BaseRepresentation
bin10001110001010000…
…10010101011100000
3220121212020021111122
420320220102223200
5124014221132320
64214351431412
7455260561121
oct107050225340
926555207448
109540020960
114056102a48
121a22b25568
13b90608622
14667028048
153ac7ecd25
hex238a12ae0

9540020960 has 96 divisors (see below), whose sum is σ = 24329471040. Its totient is φ = 3524190208.

The previous prime is 9540020957. The next prime is 9540020969. The reversal of 9540020960 is 690200459.

It is a self number, because there is not a number n which added to its sum of digits gives 9540020960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9540020969) by changing a digit.

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, 62024 + ... + 151416.

It is an arithmetic number, because the mean of its divisors is an integer number (253431990).

Almost surely, 29540020960 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 9540020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12164735520).

9540020960 is an abundant number, since it is smaller than the sum of its proper divisors (14789450080).

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

9540020960 is a wasteful number, since it uses less digits than its factorization.

9540020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89460 (or 89452 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 9540020960 is about 97673.0308734197. The cubic root of 9540020960 is about 2120.8816909328.

The spelling of 9540020960 in words is "nine billion, five hundred forty million, twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 80 92 115 116 145 160 184 230 232 290 368 460 464 580 667 736 920 928 1160 1334 1840 2320 2668 3335 3680 4640 5336 6670 10672 13340 21344 26680 53360 89393 106720 178786 357572 446965 715144 893930 1430288 1787860 2056039 2592397 2860576 3575720 4112078 5184794 7151440 8224156 10280195 10369588 12961985 14302880 16448312 20560390 20739176 25923970 32896624 41120780 41478352 51847940 59625131 65793248 82241560 82956704 103695880 119250262 164483120 207391760 238500524 298125655 328966240 414783520 477001048 596251310 954002096 1192502620 1908004192 2385005240 4770010480 9540020960