Search a number
2031300 = 2232523761
BaseRepresentation
bin111101111111011000100
310211012102100
413233323010
51010000200
6111312100
723160105
oct7577304
93735370
102031300
111168167
1281b630
1356176b
143ac3ac
152a1d00
hex1efec4

2031300 has 108 divisors (see below), whose sum is σ = 6646276. Its totient is φ = 518400.

The previous prime is 2031287. The next prime is 2031301. The reversal of 2031300 is 31302.

Adding to 2031300 its reverse (31302), we get a palindrome (2062602).

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93636 + 1937664 = 306^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33270 + ... + 33330.

22031300 is an apocalyptic number.

2031300 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 2031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323138).

2031300 is an abundant number, since it is smaller than the sum of its proper divisors (4614976).

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

2031300 is a wasteful number, since it uses less digits than its factorization.

2031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2031300 is about 1425.2368224264. The cubic root of 2031300 is about 126.6459646068.

The spelling of 2031300 in words is "two million, thirty-one thousand, three hundred".