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42000540 = 22351741177
BaseRepresentation
bin1010000000111…
…0000010011100
32221000211220120
42200032002130
541223004130
64100114540
71016666361
oct240160234
987024816
1042000540
112178769a
1212095a50
1389172ba
145814468
153a49910
hex280e09c

42000540 has 48 divisors (see below), whose sum is σ = 124522272. Its totient is φ = 10541056.

The previous prime is 42000529. The next prime is 42000559. The reversal of 42000540 is 4500024.

It is a Harshad number since it is a multiple of its sum of digits (15).

42000540 is a modest number, since divided by 540 gives 420 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19569 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (2594214).

Almost surely, 242000540 is an apocalyptic number.

It is an amenable number.

42000540 is an abundant number, since it is smaller than the sum of its proper divisors (82521732).

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

42000540 is a wasteful number, since it uses less digits than its factorization.

42000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41206 (or 41204 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42000540 is about 6480.7823601784. The cubic root of 42000540 is about 347.6041542080.

Adding to 42000540 its reverse (4500024), we get a palindrome (46500564).

The spelling of 42000540 in words is "forty-two million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 41177 82354 123531 164708 205885 247062 411770 494124 617655 700009 823540 1235310 1400018 2100027 2470620 2800036 3500045 4200054 7000090 8400108 10500135 14000180 21000270 42000540