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139433616 = 243373941
BaseRepresentation
bin10000100111110…
…01011010010000
3100201100221222000
420103321122100
5241143333431
621500314000
73312111000
oct1023713220
9321327860
10139433616
11717855a3
123a842900
1322b6c5ca
1414738000
15c3939e6
hex84f9690

139433616 has 160 divisors (see below), whose sum is σ = 467232000. Its totient is φ = 39795840.

The previous prime is 139433611. The next prime is 139433641. The reversal of 139433616 is 616334931.

139433616 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 33 + 616 = 666.

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

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 (139433611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147706 + ... + 148646.

It is an arithmetic number, because the mean of its divisors is an integer number (2920200).

Almost surely, 2139433616 is an apocalyptic number.

139433616 is a gapful number since it is divisible by the number (16) 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 139433616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233616000).

139433616 is an abundant number, since it is smaller than the sum of its proper divisors (327798384).

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

139433616 is an equidigital number, since it uses as much as digits as its factorization.

139433616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 953 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 139433616 is about 11808.2012177977. The cubic root of 139433616 is about 518.5482386422.

The spelling of 139433616 in words is "one hundred thirty-nine million, four hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 941 1008 1029 1176 1323 1372 1512 1764 1882 2058 2352 2646 2744 2823 3024 3087 3528 3764 4116 5292 5488 5646 6174 6587 7056 7528 8232 8469 9261 10584 11292 12348 13174 15056 16464 16938 18522 19761 21168 22584 24696 25407 26348 33876 37044 39522 45168 46109 49392 50814 52696 59283 67752 74088 79044 92218 101628 105392 118566 135504 138327 148176 158088 177849 184436 203256 237132 276654 316176 322763 355698 368872 406512 414981 474264 553308 645526 711396 737744 829962 948528 968289 1106616 1244943 1291052 1422792 1659924 1936578 2213232 2489886 2582104 2845584 2904867 3319848 3873156 4979772 5164208 5809734 6639696 7746312 8714601 9959544 11619468 15492624 17429202 19919088 23238936 34858404 46477872 69716808 139433616