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42712120 = 2351197073
BaseRepresentation
bin1010001011101…
…1110000111000
32222101000000101
42202323300320
541413241440
64123245144
71026022063
oct242736070
988330011
1042712120
1122123280
12123797b4
138b06159
14595b8da
153b3a69a
hex28bbc38

42712120 has 32 divisors (see below), whose sum is σ = 104839920. Its totient is φ = 15531520.

The previous prime is 42712091. The next prime is 42712121. The reversal of 42712120 is 2121724.

It is a happy number.

42712120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42712121) by changing a digit.

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, 48097 + ... + 48976.

Almost surely, 242712120 is an apocalyptic number.

42712120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42712120 is an abundant number, since it is smaller than the sum of its proper divisors (62127800).

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

42712120 is a wasteful number, since it uses less digits than its factorization.

42712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97095 (or 97091 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 42712120 is about 6535.4510173361. The cubic root of 42712120 is about 349.5562266827.

Adding to 42712120 its reverse (2121724), we get a palindrome (44833844).

The spelling of 42712120 in words is "forty-two million, seven hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 97073 194146 388292 485365 776584 970730 1067803 1941460 2135606 3882920 4271212 5339015 8542424 10678030 21356060 42712120