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142382106 = 232172331997
BaseRepresentation
bin10000111110010…
…01010000011010
3100220220202112100
420133021100122
5242422211411
622043424230
73346141116
oct1037112032
9326822470
10142382106
1173409869
123b825076
1323662689
1414ca4746
15c777456
hex87c941a

142382106 has 48 divisors (see below), whose sum is σ = 328207464. Its totient is φ = 44454912.

The previous prime is 142382087. The next prime is 142382161. The reversal of 142382106 is 601283241.

It can be written as a sum of positive squares in 4 ways, for example, as 80838081 + 61544025 = 8991^2 + 7845^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142382106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70300 + ... + 72296.

Almost surely, 2142382106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142382106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164103732).

142382106 is an abundant number, since it is smaller than the sum of its proper divisors (185825358).

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

142382106 is a wasteful number, since it uses less digits than its factorization.

142382106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2252 counting only the distinct ones).

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

The square root of 142382106 is about 11932.3973282824. The cubic root of 142382106 is about 522.1778801007.

The spelling of 142382106 in words is "one hundred forty-two million, three hundred eighty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 233 306 466 699 1398 1997 2097 3961 3994 4194 5991 7922 11883 11982 17973 23766 33949 35649 35946 67898 71298 101847 203694 305541 465301 611082 930602 1395903 2791806 4187709 7910117 8375418 15820234 23730351 47460702 71191053 142382106