Search a number
-
+
2420180 = 225759293
BaseRepresentation
bin1001001110110111010100
311112221212022
421032313110
51104421210
6123512312
726366630
oct11166724
94487768
102420180
111403354
12988698
13669779
1446ddc0
1532c155
hex24edd4

2420180 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 812928.

The previous prime is 2420179. The next prime is 2420213. The reversal of 2420180 is 810242.

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, 8114 + ... + 8406.

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

22420180 is an apocalyptic number.

2420180 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 2420180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2420180 is an abundant number, since it is smaller than the sum of its proper divisors (3506860).

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

2420180 is a wasteful number, since it uses less digits than its factorization.

2420180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2420180 is about 1555.6927717258. The cubic root of 2420180 is about 134.2607975068.

It can be divided in two parts, 2420 and 180, that multiplied together give a square (435600 = 6602).

The spelling of 2420180 in words is "two million, four hundred twenty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 293 295 413 586 590 826 1172 1180 1465 1652 2051 2065 2930 4102 4130 5860 8204 8260 10255 17287 20510 34574 41020 69148 86435 121009 172870 242018 345740 484036 605045 1210090 2420180