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42690102 = 23713411907
BaseRepresentation
bin1010001011011…
…0011000110110
32222022212210220
42202312120312
541412040402
64122555210
71025600640
oct242663066
988285726
1042690102
1122108784
1212368b06
138ac9120
145953890
153b33dbc
hex28b6636

42690102 has 64 divisors (see below), whose sum is σ = 107702784. Its totient is φ = 10978560.

The previous prime is 42690079. The next prime is 42690103. The reversal of 42690102 is 20109624.

42690102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42690103) 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 31 ways as a sum of consecutive naturals, for example, 21433 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (1682856).

Almost surely, 242690102 is an apocalyptic number.

42690102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42690102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53851392).

42690102 is an abundant number, since it is smaller than the sum of its proper divisors (65012682).

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

42690102 is a wasteful number, since it uses less digits than its factorization.

42690102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42690102 is about 6533.7662951777. The cubic root of 42690102 is about 349.4961512140.

Adding to 42690102 its reverse (20109624), we get a palindrome (62799726).

The spelling of 42690102 in words is "forty-two million, six hundred ninety thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 1907 3198 3731 3814 5721 7462 11193 11442 13349 22386 24791 26698 40047 49582 74373 78187 80094 148746 156374 173537 234561 347074 469122 520611 547309 1016431 1041222 1094618 1641927 2032862 3049293 3283854 6098586 7115017 14230034 21345051 42690102