Search a number
-
+
86003136 = 2632178783
BaseRepresentation
bin1010010000001…
…00110111000000
312222211102010100
411020010313000
5134004100021
612311202400
72063005002
oct510046700
9188742110
1086003136
114460147a
1224976400
1314a8293b
14b5ca372
15783c626
hex5204dc0

86003136 has 84 divisors (see below), whose sum is σ = 261042912. Its totient is φ = 26978304.

The previous prime is 86003129. The next prime is 86003161. The reversal of 86003136 is 63130068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401 + ... + 14183.

Almost surely, 286003136 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 86003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130521456).

86003136 is an abundant number, since it is smaller than the sum of its proper divisors (175039776).

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

86003136 is a wasteful number, since it uses less digits than its factorization.

86003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8805 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 86003136 is about 9273.7875757427. The cubic root of 86003136 is about 441.4058614191.

The spelling of 86003136 in words is "eighty-six million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 8783 9792 17566 26349 35132 52698 70264 79047 105396 140528 149311 158094 210792 281056 298622 316188 421584 447933 562112 597244 632376 843168 895866 1194488 1264752 1343799 1686336 1791732 2388976 2529504 2687598 3583464 4777952 5059008 5375196 7166928 9555904 10750392 14333856 21500784 28667712 43001568 86003136