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86321300 = 225213232887
BaseRepresentation
bin1010010010100…
…10100010010100
320000102120120012
411021102202110
5134044240200
612322055352
72065501412
oct511224224
9200376505
1086321300
11447a951a
1224aaa558
1314b646c0
14b6702b2
1578a1a35
hex5252894

86321300 has 72 divisors (see below), whose sum is σ = 210569856. Its totient is φ = 30476160.

The previous prime is 86321297. The next prime is 86321309. The reversal of 86321300 is 312368.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86321309) 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, 28457 + ... + 31343.

Almost surely, 286321300 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 86321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105284928).

86321300 is an abundant number, since it is smaller than the sum of its proper divisors (124248556).

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

86321300 is a wasteful number, since it uses less digits than its factorization.

86321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 86321300 is about 9290.9256804691. The cubic root of 86321300 is about 441.9495106910.

Adding to 86321300 its reverse (312368), we get a palindrome (86633668).

The spelling of 86321300 in words is "eighty-six million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2887 2990 5774 5980 7475 11548 14435 14950 28870 29900 37531 57740 66401 72175 75062 132802 144350 150124 187655 265604 288700 332005 375310 664010 750620 863213 938275 1328020 1660025 1726426 1876550 3320050 3452852 3753100 4316065 6640100 8632130 17264260 21580325 43160650 86321300