Search a number
-
+
9901780 = 2257107661
BaseRepresentation
bin100101110001…
…011011010100
3200122001200121
4211301123110
510013324110
6552121324
7150110110
oct45613324
920561617
109901780
115653399
123396244
132088c55
14145a740
15d08cda
hex9716d4

9901780 has 48 divisors (see below), whose sum is σ = 24022656. Its totient is φ = 3358080.

The previous prime is 9901777. The next prime is 9901783. The reversal of 9901780 is 871099.

9901780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9901777) and next prime (9901783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901783) 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, 14650 + ... + 15310.

It is an arithmetic number, because the mean of its divisors is an integer number (500472).

Almost surely, 29901780 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 9901780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011328).

9901780 is an abundant number, since it is smaller than the sum of its proper divisors (14120876).

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

9901780 is a wasteful number, since it uses less digits than its factorization.

9901780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 9901780 is about 3146.7093923653. The cubic root of 9901780 is about 214.7357850463.

The spelling of 9901780 in words is "nine million, nine hundred one thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 661 749 1070 1322 1498 2140 2644 2996 3305 3745 4627 6610 7490 9254 13220 14980 18508 23135 46270 70727 92540 141454 282908 353635 495089 707270 990178 1414540 1980356 2475445 4950890 9901780