Search a number
-
+
628131260 = 225199717041
BaseRepresentation
bin100101011100001…
…000010110111100
31121202221101002202
4211130020112330
52241300200020
6142155011032
721365012321
oct4534102674
91552841082
10628131260
112a2622349
12156439a78
13a0198103
145d5cab48
153a227e75
hex257085bc

628131260 has 48 divisors (see below), whose sum is σ = 1402897440. Its totient is φ = 235560960.

The previous prime is 628131253. The next prime is 628131293. The reversal of 628131260 is 62131826.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28340 + ... + 45380.

It is an arithmetic number, because the mean of its divisors is an integer number (29227030).

Almost surely, 2628131260 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 628131260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701448720).

628131260 is an abundant number, since it is smaller than the sum of its proper divisors (774766180).

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

628131260 is a wasteful number, since it uses less digits than its factorization.

628131260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17166 (or 17164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 628131260 is about 25062.5469575620. The cubic root of 628131260 is about 856.4134299373.

The spelling of 628131260 in words is "six hundred twenty-eight million, one hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 3686 7372 9215 17041 18430 34082 36860 68164 85205 170410 323779 340820 647558 1295116 1618895 1652977 3237790 3305954 6475580 6611908 8264885 16529770 31406563 33059540 62813126 125626252 157032815 314065630 628131260