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42012020 = 2253756773
BaseRepresentation
bin1010000001000…
…0110101110100
32221001102122202
42200100311310
541223341040
64100244032
71020045011
oct240206564
987042582
1042012020
1121795286
12120a0618
13891c5ab
145818708
153a4d015
hex2810d74

42012020 has 24 divisors (see below), whose sum is σ = 90611304. Its totient is φ = 16350336.

The previous prime is 42012017. The next prime is 42012073. The reversal of 42012020 is 2021024.

It can be written as a sum of positive squares in 4 ways, for example, as 7107556 + 34904464 = 2666^2 + 5908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42011992 and 42012010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27647 + ... + 29126.

It is an arithmetic number, because the mean of its divisors is an integer number (3775471).

Almost surely, 242012020 is an apocalyptic number.

It is an amenable number.

42012020 is an abundant number, since it is smaller than the sum of its proper divisors (48599284).

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

42012020 is a wasteful number, since it uses less digits than its factorization.

42012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56819 (or 56817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42012020 is about 6481.6679952000. The cubic root of 42012020 is about 347.6358215165.

Adding to 42012020 its reverse (2021024), we get a palindrome (44033044).

The spelling of 42012020 in words is "forty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 56773 113546 227092 283865 567730 1135460 2100601 4201202 8402404 10503005 21006010 42012020