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42106068 = 223543319
BaseRepresentation
bin1010000010011…
…1110011010100
32221020012200000
42200213303110
541234343233
64102251300
71020616134
oct240476324
987205600
1042106068
1121849a04
1212126b30
138953344
145840ac4
153a6ad13
hex2827cd4

42106068 has 36 divisors (see below), whose sum is σ = 110379360. Its totient is φ = 14035032.

The previous prime is 42106067. The next prime is 42106069. The reversal of 42106068 is 86060124.

42106068 is a `hidden beast` number, since 42 + 10 + 606 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42106067) and next prime (42106069).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20688 + ... + 22631.

Almost surely, 242106068 is an apocalyptic number.

It is an amenable number.

42106068 is an abundant number, since it is smaller than the sum of its proper divisors (68273292).

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

42106068 is a wasteful number, since it uses less digits than its factorization.

42106068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43338 (or 43324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42106068 is about 6488.9188621834. The cubic root of 42106068 is about 347.8950337408.

The spelling of 42106068 in words is "forty-two million, one hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 43319 86638 129957 173276 259914 389871 519828 779742 1169613 1559484 2339226 3508839 4678452 7017678 10526517 14035356 21053034 42106068