Search a number
-
+
2494100 = 225272509
BaseRepresentation
bin1001100000111010010100
311200201021002
421200322110
51114302400
6125242432
730125300
oct11407224
94621232
102494100
111453944
12a03418
136942cb
1448cd00
15343ed5
hex260e94

2494100 has 54 divisors (see below), whose sum is σ = 6308190. Its totient is φ = 853440.

The previous prime is 2494099. The next prime is 2494103. The reversal of 2494100 is 14942.

It can be written as a sum of positive squares in 3 ways, for example, as 414736 + 2079364 = 644^2 + 1442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4646 + ... + 5154.

22494100 is an apocalyptic number.

2494100 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 2494100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154095).

2494100 is an abundant number, since it is smaller than the sum of its proper divisors (3814090).

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

2494100 is a wasteful number, since it uses less digits than its factorization.

2494100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2494100 is about 1579.2719841750. The cubic root of 2494100 is about 135.6140296364.

The spelling of 2494100 in words is "two million, four hundred ninety-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 509 700 980 1018 1225 2036 2450 2545 3563 4900 5090 7126 10180 12725 14252 17815 24941 25450 35630 49882 50900 71260 89075 99764 124705 178150 249410 356300 498820 623525 1247050 2494100