Search a number
-
+
2430100 = 2252191279
BaseRepresentation
bin1001010001010010010100
311120110110201
421101102110
51110230400
6124030244
726440561
oct11212224
94513421
102430100
11140a852
12992384
1367113a
14473868
1533006a
hex251494

2430100 has 36 divisors (see below), whose sum is σ = 5555200. Its totient is φ = 920160.

The previous prime is 2430091. The next prime is 2430139. The reversal of 2430100 is 10342.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1261 + ... + 2539.

22430100 is an apocalyptic number.

2430100 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 2430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777600).

2430100 is an abundant number, since it is smaller than the sum of its proper divisors (3125100).

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

2430100 is a wasteful number, since it uses less digits than its factorization.

2430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2430100 is about 1558.8778014970. The cubic root of 2430100 is about 134.4439865709.

Adding to 2430100 its reverse (10342), we get a palindrome (2440442).

The spelling of 2430100 in words is "two million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1279 1900 2558 5116 6395 12790 24301 25580 31975 48602 63950 97204 121505 127900 243010 486020 607525 1215050 2430100