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2541420 = 2232572017
BaseRepresentation
bin1001101100011101101100
311210010011200
421230131230
51122311140
6130245500
730413250
oct11543554
94703150
102541420
111486452
12a26890
136ac9cb
144a2260
15353030
hex26c76c

2541420 has 72 divisors (see below), whose sum is σ = 8814624. Its totient is φ = 580608.

The previous prime is 2541401. The next prime is 2541433. The reversal of 2541420 is 241452.

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

It is a junction number, because it is equal to n+sod(n) for n = 2541393 and 2541402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252 + ... + 2268.

22541420 is an apocalyptic number.

2541420 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 2541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407312).

2541420 is an abundant number, since it is smaller than the sum of its proper divisors (6273204).

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

2541420 is a wasteful number, since it uses less digits than its factorization.

2541420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2541420 is about 1594.1831764261. The cubic root of 2541420 is about 136.4663202338.

Adding to 2541420 its reverse (241452), we get a palindrome (2782872).

Subtracting from 2541420 its reverse (241452), we obtain a cube (2299968 = 1323).

The spelling of 2541420 in words is "two million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2017 4034 6051 8068 10085 12102 14119 18153 20170 24204 28238 30255 36306 40340 42357 56476 60510 70595 72612 84714 90765 121020 127071 141190 169428 181530 211785 254142 282380 363060 423570 508284 635355 847140 1270710 2541420