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42003020 = 22529139521
BaseRepresentation
bin1010000000111…
…0101001001100
32221000222022102
42200032221030
541223044040
64100134232
71020006533
oct240165114
987028272
1042003020
1121789544
1212097378
138918477
14581531a
153a4a515
hex280ea4c

42003020 has 48 divisors (see below), whose sum is σ = 92080800. Its totient is φ = 16074240.

The previous prime is 42002999. The next prime is 42003023. The reversal of 42003020 is 2030024.

It is a junction number, because it is equal to n+sod(n) for n = 42002992 and 42003010.

It is not an unprimeable number, because it can be changed into a prime (42003023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80360 + ... + 80880.

It is an arithmetic number, because the mean of its divisors is an integer number (1918350).

Almost surely, 242003020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46040400).

42003020 is an abundant number, since it is smaller than the sum of its proper divisors (50077780).

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

42003020 is a wasteful number, since it uses less digits than its factorization.

42003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42003020 is about 6480.9736922780. The cubic root of 42003020 is about 347.6109957179.

Adding to 42003020 its reverse (2030024), we get a palindrome (44033044).

The spelling of 42003020 in words is "forty-two million, three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 139 145 278 290 521 556 580 695 1042 1390 2084 2605 2780 4031 5210 8062 10420 15109 16124 20155 30218 40310 60436 72419 75545 80620 144838 151090 289676 302180 362095 724190 1448380 2100151 4200302 8400604 10500755 21001510 42003020