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42215140 = 22511311617
BaseRepresentation
bin1010000100001…
…0011011100100
32221102202021201
42201002123210
541301341030
64104452244
71021552132
oct241023344
987382251
1042215140
1121913950
121217a084
138990b96
14586c752
153a8d2ca
hex28426e4

42215140 has 48 divisors (see below), whose sum is σ = 97179264. Its totient is φ = 15276800.

The previous prime is 42215137. The next prime is 42215141. The reversal of 42215140 is 4151224.

It is not an unprimeable number, because it can be changed into a prime (42215141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68112 + ... + 68728.

It is an arithmetic number, because the mean of its divisors is an integer number (2024568).

Almost surely, 242215140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589632).

42215140 is an abundant number, since it is smaller than the sum of its proper divisors (54964124).

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

42215140 is a wasteful number, since it uses less digits than its factorization.

42215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 42215140 is about 6497.3179081833. The cubic root of 42215140 is about 348.1951717106.

Adding to 42215140 its reverse (4151224), we get a palindrome (46366364).

The spelling of 42215140 in words is "forty-two million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 617 622 1234 1244 1555 2468 3085 3110 3421 6170 6220 6787 6842 12340 13574 13684 17105 27148 33935 34210 67870 68420 135740 191887 383774 767548 959435 1918870 2110757 3837740 4221514 8443028 10553785 21107570 42215140