Search a number
-
+
2430090 = 2325133167
BaseRepresentation
bin1001010001010010001010
311120110110100
421101102022
51110230330
6124030230
726440545
oct11212212
94513410
102430090
11140a843
12992376
13671130
1447385c
15330060
hex25148a

2430090 has 96 divisors (see below), whose sum is σ = 7128576. Its totient is φ = 570240.

The previous prime is 2430089. The next prime is 2430091. The reversal of 2430090 is 900342.

It is an interprime number because it is at equal distance from previous prime (2430089) and next prime (2430091).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2430091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36237 + ... + 36303.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

22430090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564288).

2430090 is an abundant number, since it is smaller than the sum of its proper divisors (4698486).

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

2430090 is a wasteful number, since it uses less digits than its factorization.

2430090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2430090 is about 1558.8745940582. The cubic root of 2430090 is about 134.4438021558.

The spelling of 2430090 in words is "two million, four hundred thirty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 67 78 90 93 117 130 134 155 186 195 201 234 279 310 335 390 402 403 465 558 585 603 670 806 871 930 1005 1170 1206 1209 1395 1742 2010 2015 2077 2418 2613 2790 3015 3627 4030 4154 4355 5226 6030 6045 6231 7254 7839 8710 10385 12090 12462 13065 15678 18135 18693 20770 26130 27001 31155 36270 37386 39195 54002 62310 78390 81003 93465 135005 162006 186930 243009 270010 405015 486018 810030 1215045 2430090