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2543420 = 2251121051
BaseRepresentation
bin1001101100111100111100
311210012220202
421230330330
51122342140
6130303032
730422135
oct11547474
94705822
102543420
111487a00
12a27a78
136b08a9
144a2c8c
15353915
hex26cf3c

2543420 has 36 divisors (see below), whose sum is σ = 5876472. Its totient is φ = 924000.

The previous prime is 2543413. The next prime is 2543423. The reversal of 2543420 is 243452.

2543420 = T376 + T377 + ... + T408.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2543392 and 2543401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1895 + ... + 2945.

22543420 is an apocalyptic number.

2543420 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 2543420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938236).

2543420 is an abundant number, since it is smaller than the sum of its proper divisors (3333052).

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

2543420 is a wasteful number, since it uses less digits than its factorization.

2543420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2543420 is about 1594.8103335507. The cubic root of 2543420 is about 136.5021087662.

Adding to 2543420 its reverse (243452), we get a palindrome (2786872).

Subtracting from 2543420 its reverse (243452), we obtain a cube (2299968 = 1323).

The spelling of 2543420 in words is "two million, five hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1051 1210 2102 2420 4204 5255 10510 11561 21020 23122 46244 57805 115610 127171 231220 254342 508684 635855 1271710 2543420