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139348872 = 233213533
BaseRepresentation
bin10000100111001…
…00101110001000
3100201012122201100
420103210232020
5241133130442
621454421400
73311305635
oct1023445610
9321178640
10139348872
1171727963
123a801860
1322b3cb70
141471518c
15c37884c
hex84e4b88

139348872 has 96 divisors (see below), whose sum is σ = 414250200. Its totient is φ = 42067584.

The previous prime is 139348871. The next prime is 139348877. The reversal of 139348872 is 278843931.

139348872 is a `hidden beast` number, since 13 + 93 + 488 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89984196 + 49364676 = 9486^2 + 7026^2 .

It is not an unprimeable number, because it can be changed into a prime (139348871) 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, 2629198 + ... + 2629250.

Almost surely, 2139348872 is an apocalyptic number.

139348872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139348872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207125100).

139348872 is an abundant number, since it is smaller than the sum of its proper divisors (274901328).

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

139348872 is an equidigital number, since it uses as much as digits as its factorization.

139348872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 71 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 139348872 is about 11804.6123189201. The cubic root of 139348872 is about 518.4431641299.

The spelling of 139348872 in words is "one hundred thirty-nine million, three hundred forty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 2809 3816 4134 5512 5618 6201 8268 8427 11236 12402 16536 16854 22472 24804 25281 33708 36517 49608 50562 67416 73034 101124 109551 146068 148877 202248 219102 292136 297754 328653 438204 446631 595508 657306 876408 893262 1191016 1314612 1339893 1786524 1935401 2629224 2679786 3573048 3870802 5359572 5806203 7741604 10719144 11612406 15483208 17418609 23224812 34837218 46449624 69674436 139348872