Search a number
-
+
2561780 = 2251359167
BaseRepresentation
bin1001110001011011110100
311211011002202
421301123310
51123434110
6130524032
730526514
oct11613364
94734082
102561780
11149a781
12a36618
136b9060
144a9844
153590a5
hex2716f4

2561780 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 924288.

The previous prime is 2561771. The next prime is 2561807. The reversal of 2561780 is 871652.

It is an Ulam number.

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, 15257 + ... + 15423.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

22561780 is an apocalyptic number.

2561780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2561780 is an abundant number, since it is smaller than the sum of its proper divisors (3365260).

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

2561780 is a wasteful number, since it uses less digits than its factorization.

2561780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 2561780 is about 1600.5561533417. The cubic root of 2561780 is about 136.8297741925.

The spelling of 2561780 in words is "two million, five hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 167 236 260 295 334 590 668 767 835 1180 1534 1670 2171 3068 3340 3835 4342 7670 8684 9853 10855 15340 19706 21710 39412 43420 49265 98530 128089 197060 256178 512356 640445 1280890 2561780