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42015660 = 22351136197
BaseRepresentation
bin1010000001000…
…1101110101100
32221001121122120
42200101232230
541224000120
64100312540
71020061431
oct240215654
987047576
1042015660
1121797a95
12120a2750
13892114b
145819b88
153a4e140
hex2811bac

42015660 has 48 divisors (see below), whose sum is σ = 118704096. Its totient is φ = 11103232.

The previous prime is 42015629. The next prime is 42015667. The reversal of 42015660 is 6651024.

It is a self number, because there is not a number n which added to its sum of digits gives 42015660.

It is not an unprimeable number, because it can be changed into a prime (42015667) by changing a digit.

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, 3682 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (2473002).

Almost surely, 242015660 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 42015660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59352048).

42015660 is an abundant number, since it is smaller than the sum of its proper divisors (76688436).

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

42015660 is a wasteful number, since it uses less digits than its factorization.

42015660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42015660 is about 6481.9487810380. The cubic root of 42015660 is about 347.6458611658.

Adding to 42015660 its reverse (6651024), we get a palindrome (48666684).

The spelling of 42015660 in words is "forty-two million, fifteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6197 6780 12394 18591 24788 30985 37182 61970 74364 92955 123940 185910 371820 700261 1400522 2100783 2801044 3501305 4201566 7002610 8403132 10503915 14005220 21007830 42015660