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42430520 = 23511731321
BaseRepresentation
bin1010000111011…
…1000000111000
32221211200201202
42201313000320
541330234040
64113233332
71023440066
oct241670070
987750652
1042430520
1121a50750
1212262848
138a37c22
1458c7036
153ad2015
hex2877038

42430520 has 64 divisors (see below), whose sum is σ = 105654240. Its totient is φ = 15206400.

The previous prime is 42430517. The next prime is 42430543. The reversal of 42430520 is 2503424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42430492 and 42430501.

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 15 ways as a sum of consecutive naturals, for example, 31460 + ... + 32780.

Almost surely, 242430520 is an apocalyptic number.

42430520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52827120).

42430520 is an abundant number, since it is smaller than the sum of its proper divisors (63223720).

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

42430520 is a wasteful number, since it uses less digits than its factorization.

42430520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42430520 is about 6513.8713527364. The cubic root of 42430520 is about 348.7863268986.

Adding to 42430520 its reverse (2503424), we get a palindrome (44933944).

The spelling of 42430520 in words is "forty-two million, four hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1321 1460 1606 2642 2920 3212 4015 5284 6424 6605 8030 10568 13210 14531 16060 26420 29062 32120 52840 58124 72655 96433 116248 145310 192866 290620 385732 482165 581240 771464 964330 1060763 1928660 2121526 3857320 4243052 5303815 8486104 10607630 21215260 42430520