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9882000820 = 2253190717573
BaseRepresentation
bin10010011010000001…
…10101110110110100
3221111200201122200101
421031000311312310
5130214243011240
64312325323444
7466612423006
oct111500656664
927450648611
109882000820
11421114a52a
121ab9566584
13c16414183
1469a608376
153cc85039a
hex24d035db4

9882000820 has 48 divisors (see below), whose sum is σ = 21446466048. Its totient is φ = 3820855680.

The previous prime is 9882000787. The next prime is 9882000827. The reversal of 9882000820 is 280002889.

9882000820 is a nontrivial binomial coefficient, being equal to C(140585, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 9882000820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9882000827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553554 + ... + 571126.

It is an arithmetic number, because the mean of its divisors is an integer number (446801376).

Almost surely, 29882000820 is an apocalyptic number.

9882000820 is the 140584-th triangular number.

9882000820 is the 46862-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9882000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723233024).

9882000820 is an abundant number, since it is smaller than the sum of its proper divisors (11564465228).

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

9882000820 is a wasteful number, since it uses less digits than its factorization.

9882000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18520 (or 18518 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 9882000820 is about 99408.2532790915. The cubic root of 9882000820 is about 2145.9270878679.

The spelling of 9882000820 in words is "nine billion, eight hundred eighty-two million, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 907 1814 3628 4535 9070 17573 18140 28117 35146 56234 70292 87865 112468 140585 175730 281170 351460 544763 562340 1089526 2179052 2723815 5447630 10895260 15938711 31877422 63754844 79693555 159387110 318774220 494100041 988200082 1976400164 2470500205 4941000410 9882000820