Search a number
-
+
2481300 = 223352919
BaseRepresentation
bin1001011101110010010100
311200001201000
421131302110
51113400200
6125103300
730043053
oct11356224
94601630
102481300
111445268
129b7b30
1368b533
1448839a
15340300
hex25dc94

2481300 has 72 divisors (see below), whose sum is σ = 7985600. Its totient is φ = 660960.

The previous prime is 2481293. The next prime is 2481307. The reversal of 2481300 is 31842.

It is a happy number.

2481300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2481293) and next prime (2481307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481307) 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 23 ways as a sum of consecutive naturals, for example, 2241 + ... + 3159.

22481300 is an apocalyptic number.

2481300 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 2481300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992800).

2481300 is an abundant number, since it is smaller than the sum of its proper divisors (5504300).

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

2481300 is a wasteful number, since it uses less digits than its factorization.

2481300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2481300 is about 1575.2142711390. The cubic root of 2481300 is about 135.3816361723.

The spelling of 2481300 in words is "two million, four hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 919 1350 1838 2700 2757 3676 4595 5514 8271 9190 11028 13785 16542 18380 22975 24813 27570 33084 41355 45950 49626 55140 68925 82710 91900 99252 124065 137850 165420 206775 248130 275700 413550 496260 620325 827100 1240650 2481300