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9804207140 = 2257213259197
BaseRepresentation
bin10010010000110000…
…00101010000100100
3221022021100022210222
421020120011100210
5130034334112030
64300510103512
7464646246200
oct111030052044
927267308728
109804207140
114181245a32
121a974aab98
13c03277100
14690157b00
153c5ad53e5
hex248605424

9804207140 has 108 divisors (see below), whose sum is σ = 25934762196. Its totient is φ = 3102817536.

The previous prime is 9804207137. The next prime is 9804207151. The reversal of 9804207140 is 417024089.

It can be written as a sum of positive squares in 6 ways, for example, as 2417492224 + 7386714916 = 49168^2 + 85946^2 .

It is a super-2 number, since 2×98042071402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 9804207140.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136022 + ... + 195218.

It is an arithmetic number, because the mean of its divisors is an integer number (240136687).

Almost surely, 29804207140 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 9804207140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967381098).

9804207140 is an abundant number, since it is smaller than the sum of its proper divisors (16130555056).

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

9804207140 is a wasteful number, since it uses less digits than its factorization.

9804207140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59246 (or 59224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 9804207140 is about 99016.1963519100. The cubic root of 9804207140 is about 2140.2811477360.

The spelling of 9804207140 in words is "nine billion, eight hundred four million, two hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2366 2548 3185 3380 4732 5915 6370 8281 11830 12740 16562 23660 33124 41405 59197 82810 118394 165620 236788 295985 414379 591970 769561 828758 1183940 1539122 1657516 2071895 2900653 3078244 3847805 4143790 5386927 5801306 7695610 8287580 10004293 10773854 11602612 14503265 15391220 20008586 21547708 26934635 29006530 37708489 40017172 50021465 53869270 58013060 70030051 75416978 100042930 107738540 140060102 150833956 188542445 200085860 280120204 350150255 377084890 490210357 700300510 754169780 980420714 1400601020 1960841428 2451051785 4902103570 9804207140