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139919364 = 223213535641
BaseRepresentation
bin10000101011100…
…00000000000100
3100202021122021200
420111300000010
5241304404424
621514542500
73316203114
oct1025600004
9322248250
10139919364
1171a87542
123aa37a30
1322cac730
1414823044
15c43c8c9
hex8570004

139919364 has 72 divisors (see below), whose sum is σ = 388147032. Its totient is φ = 42232320.

The previous prime is 139919357. The next prime is 139919369. The reversal of 139919364 is 463919931.

It can be written as a sum of positive squares in 4 ways, for example, as 51408900 + 88510464 = 7170^2 + 9408^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (139919369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21984 + ... + 27624.

It is an arithmetic number, because the mean of its divisors is an integer number (5390931).

Almost surely, 2139919364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139919364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194073516).

139919364 is an abundant number, since it is smaller than the sum of its proper divisors (248227668).

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

139919364 is a wasteful number, since it uses less digits than its factorization.

139919364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5712 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 139919364 is about 11828.7515824790. The cubic root of 139919364 is about 519.1497000977.

The spelling of 139919364 in words is "one hundred thirty-nine million, nine hundred nineteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 5641 6201 8268 11282 12402 16923 22564 24804 33846 50769 67692 73333 101538 146666 203076 219999 293332 298973 439998 597946 659997 879996 896919 1195892 1319994 1793838 2639988 2690757 3587676 3886649 5381514 7773298 10763028 11659947 15546596 23319894 34979841 46639788 69959682 139919364