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139717872 = 2434715401
BaseRepresentation
bin10000101001111…
…10110011110000
3100201220101220000
420110332303300
5241231432442
621510350000
73314403510
oct1024766360
9321811800
10139717872
117195a118
123a95b300
1322c3bac8
14147ad840
15c3ecd4c
hex853ecf0

139717872 has 100 divisors (see below), whose sum is σ = 462183216. Its totient is φ = 39916800.

The previous prime is 139717871. The next prime is 139717889. The reversal of 139717872 is 278717931.

139717872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139717871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1372 + ... + 16772.

Almost surely, 2139717872 is an apocalyptic number.

139717872 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 139717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231091608).

139717872 is an abundant number, since it is smaller than the sum of its proper divisors (322465344).

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

139717872 is a wasteful number, since it uses less digits than its factorization.

139717872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15428 (or 15413 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 139717872 is about 11820.2314698148. The cubic root of 139717872 is about 518.9003784866.

The spelling of 139717872 in words is "one hundred thirty-nine million, seven hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 15401 30802 46203 61604 92406 107807 123208 138609 184812 215614 246416 277218 323421 369624 415827 431228 554436 646842 739248 831654 862456 970263 1108872 1247481 1293684 1663308 1724912 1940526 2217744 2494962 2587368 2910789 3326616 3881052 4989924 5174736 5821578 6653232 7762104 8732367 9979848 11643156 15524208 17464734 19959696 23286312 34929468 46572624 69858936 139717872