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139346208 = 25324111801
BaseRepresentation
bin10000100111001…
…00000100100000
3100201012112001200
420103210010200
5241133034313
621454401200
73311265111
oct1023440440
9321175050
10139346208
1171725961
123a800200
1322b3b8a1
1414714208
15c377b73
hex84e4120

139346208 has 72 divisors (see below), whose sum is σ = 405965196. Its totient is φ = 45312000.

The previous prime is 139346203. The next prime is 139346219. The reversal of 139346208 is 802643931.

It can be written as a sum of positive squares in 2 ways, for example, as 129686544 + 9659664 = 11388^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (139346203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5908 + ... + 17708.

Almost surely, 2139346208 is an apocalyptic number.

139346208 is a gapful number since it is divisible by the number (18) 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 139346208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202982598).

139346208 is an abundant number, since it is smaller than the sum of its proper divisors (266618988).

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

139346208 is a wasteful number, since it uses less digits than its factorization.

139346208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11858 (or 11847 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 139346208 is about 11804.4994811301. The cubic root of 139346208 is about 518.4398603324.

The spelling of 139346208 in words is "one hundred thirty-nine million, three hundred forty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11801 11808 23602 35403 47204 70806 94408 106209 141612 188816 212418 283224 377632 424836 483841 566448 849672 967682 1132896 1451523 1699344 1935364 2903046 3398688 3870728 4354569 5806092 7741456 8709138 11612184 15482912 17418276 23224368 34836552 46448736 69673104 139346208