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42003540 = 22325233353
BaseRepresentation
bin1010000000111…
…0110001010100
32221001000000200
42200032301110
541223103130
64100140500
71020011205
oct240166124
987030020
1042003540
1121789977
1212097730
138918787
1458155ac
153a4a760
hex280ec54

42003540 has 36 divisors (see below), whose sum is σ = 127411284. Its totient is φ = 11200896.

The previous prime is 42003539. The next prime is 42003551. The reversal of 42003540 is 4530024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33039504 + 8964036 = 5748^2 + 2994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116497 + ... + 116856.

Almost surely, 242003540 is an apocalyptic number.

It is an amenable number.

42003540 is an abundant number, since it is smaller than the sum of its proper divisors (85407744).

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

42003540 is a wasteful number, since it uses less digits than its factorization.

42003540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233368 (or 233363 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42003540 is about 6481.0138095826. The cubic root of 42003540 is about 347.6124301939.

Adding to 42003540 its reverse (4530024), we get a palindrome (46533564).

The spelling of 42003540 in words is "forty-two million, three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233353 466706 700059 933412 1166765 1400118 2100177 2333530 2800236 3500295 4200354 4667060 7000590 8400708 10500885 14001180 21001770 42003540