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1242105606 = 232726592137
BaseRepresentation
bin100101000001001…
…0000011100000110
310012120020111120100
41022002100130012
510020434334411
6323130344530
742531503100
oct11202203406
93176214510
101242105606
11588155365
122a7b8b146
1316a447541
14bad70570
15740a6456
hex4a090706

1242105606 has 72 divisors (see below), whose sum is σ = 3136830840. Its totient is φ = 354182976.

The previous prime is 1242105589. The next prime is 1242105647. The reversal of 1242105606 is 6065012421.

1242105606 is a `hidden beast` number, since 1 + 2 + 42 + 10 + 5 + 606 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1242105606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580170 + ... + 582306.

It is an arithmetic number, because the mean of its divisors is an integer number (43567095).

Almost surely, 21242105606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242105606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568415420).

1242105606 is an abundant number, since it is smaller than the sum of its proper divisors (1894725234).

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

1242105606 is a wasteful number, since it uses less digits than its factorization.

1242105606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1242105606 is about 35243.5186381837. The cubic root of 1242105606 is about 1074.9448267339.

The spelling of 1242105606 in words is "one billion, two hundred forty-two million, one hundred five thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 659 882 1318 1977 2137 3954 4274 4613 5931 6411 9226 11862 12822 13839 14959 19233 27678 29918 32291 38466 41517 44877 64582 83034 89754 96873 104713 134631 193746 209426 269262 290619 314139 581238 628278 942417 1408283 1884834 2816566 4224849 8449698 9857981 12674547 19715962 25349094 29573943 59147886 69005867 88721829 138011734 177443658 207017601 414035202 621052803 1242105606