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42269160 = 23351632161
BaseRepresentation
bin1010000100111…
…1100111101000
32221112111101110
42201033213220
541310103120
64105550320
71022165463
oct241174750
987474343
1042269160
112195049a
12121a53a0
1389ac64b
1458842da
153a9e2e0
hex284f9e8

42269160 has 64 divisors (see below), whose sum is σ = 127644480. Its totient is φ = 11197440.

The previous prime is 42269159. The next prime is 42269177. The reversal of 42269160 is 6196224.

42269160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 18480 + ... + 20640.

It is an arithmetic number, because the mean of its divisors is an integer number (1994445).

Almost surely, 242269160 is an apocalyptic number.

42269160 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 42269160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63822240).

42269160 is an abundant number, since it is smaller than the sum of its proper divisors (85375320).

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

42269160 is a wasteful number, since it uses less digits than its factorization.

42269160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42269160 is about 6501.4736790977. The cubic root of 42269160 is about 348.3436293948.

The spelling of 42269160 in words is "forty-two million, two hundred sixty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2161 2445 3260 3912 4322 4890 6483 6520 8644 9780 10805 12966 17288 19560 21610 25932 32415 43220 51864 64830 86440 129660 259320 352243 704486 1056729 1408972 1761215 2113458 2817944 3522430 4226916 5283645 7044860 8453832 10567290 14089720 21134580 42269160