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42423120 = 2432558921
BaseRepresentation
bin1010000111010…
…1001101010000
32221211022120200
42201311031100
541330014440
64113135200
71023406365
oct241651520
987738520
1042423120
1121a46133
121225a500
138a3474c
1458c446c
153acec30
hex2875350

42423120 has 60 divisors (see below), whose sum is σ = 142473396. Its totient is φ = 11312640.

The previous prime is 42423119. The next prime is 42423133. The reversal of 42423120 is 2132424.

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 29289744 = 3624^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×424231202 = 3599442221068800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42423093 and 42423102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28741 + ... + 30180.

Almost surely, 242423120 is an apocalyptic number.

42423120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42423120 is an abundant number, since it is smaller than the sum of its proper divisors (100050276).

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

42423120 is a wasteful number, since it uses less digits than its factorization.

42423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58940 (or 58931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42423120 is about 6513.3033093815. The cubic root of 42423120 is about 348.7660492865.

Adding to 42423120 its reverse (2132424), we get a palindrome (44555544).

The spelling of 42423120 in words is "forty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 58921 117842 176763 235684 294605 353526 471368 530289 589210 707052 883815 942736 1060578 1178420 1414104 1767630 2121156 2356840 2651445 2828208 3535260 4242312 4713680 5302890 7070520 8484624 10605780 14141040 21211560 42423120