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2421700 = 225261397
BaseRepresentation
bin1001001111001111000100
311120000221121
421033033010
51104443300
6123523324
726404231
oct11171704
94500847
102421700
111404506
12989544
1366a378
14470788
1532c81a
hex24f3c4

2421700 has 36 divisors (see below), whose sum is σ = 5354692. Its totient is φ = 950400.

The previous prime is 2421673. The next prime is 2421707. The reversal of 2421700 is 71242.

2421700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 2125764 = 544^2 + 1458^2 .

It is not an unprimeable number, because it can be changed into a prime (2421707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5902 + ... + 6298.

22421700 is an apocalyptic number.

2421700 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 2421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677346).

2421700 is an abundant number, since it is smaller than the sum of its proper divisors (2932992).

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

2421700 is a wasteful number, since it uses less digits than its factorization.

2421700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2421700 is about 1556.1812233798. The cubic root of 2421700 is about 134.2888992325.

Adding to 2421700 its reverse (71242), we get a palindrome (2492942).

The spelling of 2421700 in words is "two million, four hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 397 610 794 1220 1525 1588 1985 3050 3970 6100 7940 9925 19850 24217 39700 48434 96868 121085 242170 484340 605425 1210850 2421700