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2542140 = 2232529487
BaseRepresentation
bin1001101100101000111100
311210011011100
421230220330
51122322030
6130253100
730415326
oct11545074
94704140
102542140
111486a47
12a27190
136b0133
144a2616
15353360
hex26ca3c

2542140 has 72 divisors (see below), whose sum is σ = 7993440. Its totient is φ = 653184.

The previous prime is 2542139. The next prime is 2542147. The reversal of 2542140 is 412452.

2542140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542147) 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, 4977 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (111020).

22542140 is an apocalyptic number.

2542140 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 2542140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996720).

2542140 is an abundant number, since it is smaller than the sum of its proper divisors (5451300).

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

2542140 is a wasteful number, since it uses less digits than its factorization.

2542140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

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

The square root of 2542140 is about 1594.4089814097. The cubic root of 2542140 is about 136.4792062678.

Adding to 2542140 its reverse (412452), we get a palindrome (2954592).

The spelling of 2542140 in words is "two million, five hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 487 522 580 870 974 1044 1305 1461 1740 1948 2435 2610 2922 4383 4870 5220 5844 7305 8766 9740 14123 14610 17532 21915 28246 29220 42369 43830 56492 70615 84738 87660 127107 141230 169476 211845 254214 282460 423690 508428 635535 847380 1271070 2542140