Search a number
-
+
86216704 = 21273197
BaseRepresentation
bin1010010001110…
…01000000000000
320000020021002021
411020321000000
5134032413304
612315531224
72064554440
oct510710000
9200207067
1086216704
1144737982
1224a59b14
1314b28c02
14b644120
157880a54
hex5239000

86216704 has 104 divisors (see below), whose sum is σ = 205495808. Its totient is φ = 35389440.

The previous prime is 86216693. The next prime is 86216717. The reversal of 86216704 is 40761268.

It is a self number, because there is not a number n which added to its sum of digits gives 86216704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888784 + ... + 888880.

Almost surely, 286216704 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 86216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102747904).

86216704 is an abundant number, since it is smaller than the sum of its proper divisors (119279104).

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

86216704 is an equidigital number, since it uses as much as digits as its factorization.

86216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 86216704 is about 9285.2950410851. The cubic root of 86216704 is about 441.7709343164.

The spelling of 86216704 in words is "eighty-six million, two hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 97 112 124 128 194 217 224 248 256 388 434 448 496 512 679 776 868 896 992 1024 1358 1552 1736 1792 1984 2048 2716 3007 3104 3472 3584 3968 4096 5432 6014 6208 6944 7168 7936 10864 12028 12416 13888 14336 15872 21049 21728 24056 24832 27776 28672 31744 42098 43456 48112 49664 55552 63488 84196 86912 96224 99328 111104 126976 168392 173824 192448 198656 222208 336784 347648 384896 397312 444416 673568 695296 769792 888832 1347136 1390592 1539584 2694272 2781184 3079168 5388544 6158336 10777088 12316672 21554176 43108352 86216704