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138424986 = 232710910079
BaseRepresentation
bin10000100000000…
…11001010011010
3100122110201101100
420100003022122
5240414044421
621422532230
73300410250
oct1020031232
9318421340
10138424986
1171156817
123a437076
13228a849b
14145545d0
15c244c26
hex840329a

138424986 has 48 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 39183264.

The previous prime is 138424973. The next prime is 138424987. The reversal of 138424986 is 689424831.

It is a happy number.

138424986 is a `hidden beast` number, since 138 + 424 + 98 + 6 = 666.

It is a super-2 number, since 2×1384249862 = 38322953498200392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138424987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8695 + ... + 18773.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2138424986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138424986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

138424986 is an abundant number, since it is smaller than the sum of its proper divisors (207520614).

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

138424986 is a wasteful number, since it uses less digits than its factorization.

138424986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203 (or 10200 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 138424986 is about 11765.4148248160. The cubic root of 138424986 is about 517.2948595304.

The spelling of 138424986 in words is "one hundred thirty-eight million, four hundred twenty-four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 10079 13734 20158 30237 60474 70553 90711 141106 181422 211659 423318 634977 1098611 1269954 2197222 3295833 6591666 7690277 9887499 15380554 19774998 23070831 46141662 69212493 138424986