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139232106 = 232133171877
BaseRepresentation
bin10000100110010…
…00001101101010
3100200222201112200
420103020031222
5241120411411
621452121030
73310311336
oct1023101552
9320881480
10139232106
1171658162
123a766176
1322acb980
14146c47c6
15c353e56
hex84c836a

139232106 has 48 divisors (see below), whose sum is σ = 326073384. Its totient is φ = 42682752.

The previous prime is 139232101. The next prime is 139232123. The reversal of 139232106 is 601232931.

It can be written as a sum of positive squares in 4 ways, for example, as 67914081 + 71318025 = 8241^2 + 8445^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 139232106.

It is not an unprimeable number, because it can be changed into a prime (139232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73240 + ... + 75116.

Almost surely, 2139232106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139232106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163036692).

139232106 is an abundant number, since it is smaller than the sum of its proper divisors (186841278).

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

139232106 is a wasteful number, since it uses less digits than its factorization.

139232106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 139232106 is about 11799.6655037336. The cubic root of 139232106 is about 518.2983155683.

The spelling of 139232106 in words is "one hundred thirty-nine million, two hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 317 634 951 1877 1902 2853 3754 4121 5631 5706 8242 11262 12363 16893 24401 24726 33786 37089 48802 73203 74178 146406 219609 439218 595009 1190018 1785027 3570054 5355081 7735117 10710162 15470234 23205351 46410702 69616053 139232106