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139584042 = 232131735089
BaseRepresentation
bin10000101000111…
…10001000101010
3100201122121022100
420110132020222
5241213142132
621503434230
73313305363
oct1024361052
9321577270
10139584042
1171878614
123a8b5976
1322bc2c10
1414776b6a
15c3c337c
hex851e22a

139584042 has 48 divisors (see below), whose sum is σ = 344864520. Its totient is φ = 40421376.

The previous prime is 139584019. The next prime is 139584061. The reversal of 139584042 is 240485931.

139584042 is a `hidden beast` number, since 1 + 39 + 584 + 0 + 42 = 666.

139584042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 130165281 + 9418761 = 11409^2 + 3069^2 .

It is a junction number, because it is equal to n+sod(n) for n = 139583988 and 139584006.

It is an unprimeable number.

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, 13567 + ... + 21522.

Almost surely, 2139584042 is an apocalyptic number.

139584042 is an abundant number, since it is smaller than the sum of its proper divisors (205280478).

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

139584042 is a wasteful number, since it uses less digits than its factorization.

139584042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35127 (or 35124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 139584042 is about 11814.5690568890. The cubic root of 139584042 is about 518.7346477868.

The spelling of 139584042 in words is "one hundred thirty-nine million, five hundred eighty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 35089 70178 105267 210534 315801 456157 596513 631602 912314 1193026 1368471 1789539 2736942 3579078 4105413 5368617 7754669 8210826 10737234 15509338 23264007 46528014 69792021 139584042