Search a number
-
+
86797700 = 225211194153
BaseRepresentation
bin1010010110001…
…10110110000100
320001022210001122
411023012312010
5134210011300
612340213112
72102524343
oct513066604
9201283048
1086797700
1144aa4440
122509a198
1314ca04b2
14b755b5a
157947c85
hex52c6d84

86797700 has 72 divisors (see below), whose sum is σ = 216340320. Its totient is φ = 29894400.

The previous prime is 86797691. The next prime is 86797703. The reversal of 86797700 is 779768.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (86797703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18824 + ... + 22976.

Almost surely, 286797700 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 86797700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108170160).

86797700 is an abundant number, since it is smaller than the sum of its proper divisors (129542620).

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

86797700 is a wasteful number, since it uses less digits than its factorization.

86797700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The square root of 86797700 is about 9316.5283233617. The cubic root of 86797700 is about 442.7610469857.

The spelling of 86797700 in words is "eighty-six million, seven hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4153 4180 5225 8306 10450 16612 20765 20900 41530 45683 78907 83060 91366 103825 157814 182732 207650 228415 315628 394535 415300 456830 789070 867977 913660 1142075 1578140 1735954 1972675 2284150 3471908 3945350 4339885 4568300 7890700 8679770 17359540 21699425 43398850 86797700