Search a number
-
+
561040116 = 223713239521
BaseRepresentation
bin100001011100001…
…100101011110100
31110002200210100120
4201130030223310
52122111240431
6131401011540
716621522320
oct4134145364
91402623316
10561040116
1126876881a
12137a83bb0
138c307600
1454724980
15343c4196
hex2170caf4

561040116 has 72 divisors (see below), whose sum is σ = 1620085824. Its totient is φ = 147962880.

The previous prime is 561040097. The next prime is 561040133. The reversal of 561040116 is 611040165.

It is a super-2 number, since 2×5610401162 = 629532023522586912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5565 + ... + 33956.

It is an arithmetic number, because the mean of its divisors is an integer number (22501192).

Almost surely, 2561040116 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 561040116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810042912).

561040116 is an abundant number, since it is smaller than the sum of its proper divisors (1059045708).

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

561040116 is a wasteful number, since it uses less digits than its factorization.

561040116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39561 (or 39546 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 561040116 is about 23686.2853989392. The cubic root of 561040116 is about 824.7670556285.

The spelling of 561040116 in words is "five hundred sixty-one million, forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 39521 79042 118563 158084 237126 276647 474252 513773 553294 829941 1027546 1106588 1541319 1659882 2055092 3082638 3319764 3596411 6165276 6679049 7192822 10789233 13358098 14385644 20037147 21578466 26716196 40074294 43156932 46753343 80148588 93506686 140260029 187013372 280520058 561040116