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42430120 = 2353728669
BaseRepresentation
bin1010000111011…
…0111010101000
32221211200011221
42201312322220
541330230440
64113231424
71023435655
oct241667250
987750157
1042430120
1121a50417
1212262574
138a379a5
1458c6c2c
153ad1d4a
hex2876ea8

42430120 has 32 divisors (see below), whose sum is σ = 98051400. Its totient is φ = 16512768.

The previous prime is 42430117. The next prime is 42430139. The reversal of 42430120 is 2103424.

42430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42224004 + 206116 = 6498^2 + 454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42430094 and 42430103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12855 + ... + 15814.

Almost surely, 242430120 is an apocalyptic number.

42430120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42430120 is an abundant number, since it is smaller than the sum of its proper divisors (55621280).

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

42430120 is a wasteful number, since it uses less digits than its factorization.

42430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28717 (or 28713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42430120 is about 6513.8406489567. The cubic root of 42430120 is about 348.7852308717.

Adding to 42430120 its reverse (2103424), we get a palindrome (44533544).

The spelling of 42430120 in words is "forty-two million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 28669 57338 114676 143345 229352 286690 573380 1060753 1146760 2121506 4243012 5303765 8486024 10607530 21215060 42430120