Search a number
-
+
2541180 = 2235411033
BaseRepresentation
bin1001101100011001111100
311210002211210
421230121330
51122304210
6130244420
730412455
oct11543174
94702753
102541180
111486254
12a26710
136ac875
144a212c
15352e20
hex26c67c

2541180 has 48 divisors (see below), whose sum is σ = 7295904. Its totient is φ = 660480.

The previous prime is 2541173. The next prime is 2541229. The reversal of 2541180 is 811452.

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, 1944 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (151998).

22541180 is an apocalyptic number.

2541180 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 2541180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647952).

2541180 is an abundant number, since it is smaller than the sum of its proper divisors (4754724).

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

2541180 is a wasteful number, since it uses less digits than its factorization.

2541180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2541180 is about 1594.1079009904. The cubic root of 2541180 is about 136.4620243484.

The spelling of 2541180 in words is "two million, five hundred forty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1033 1230 2066 2460 3099 4132 5165 6198 10330 12396 15495 20660 30990 42353 61980 84706 127059 169412 211765 254118 423530 508236 635295 847060 1270590 2541180