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86001700 = 22527091213
BaseRepresentation
bin1010010000001…
…00100000100100
312222211100011011
411020010200210
5134004023300
612311152004
72063000551
oct510044044
9188740134
1086001700
1144600394
1224975604
1314a820a5
14b5c9a28
15783beba
hex5204824

86001700 has 36 divisors (see below), whose sum is σ = 187040980. Its totient is φ = 34323840.

The previous prime is 86001697. The next prime is 86001703. The reversal of 86001700 is 710068.

It is an interprime number because it is at equal distance from previous prime (86001697) and next prime (86001703).

It can be written as a sum of positive squares in 6 ways, for example, as 30558784 + 55442916 = 5528^2 + 7446^2 .

It is not an unprimeable number, because it can be changed into a prime (86001703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70294 + ... + 71506.

Almost surely, 286001700 is an apocalyptic number.

It is an amenable number.

86001700 is an abundant number, since it is smaller than the sum of its proper divisors (101039280).

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

86001700 is a wasteful number, since it uses less digits than its factorization.

86001700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 86001700 is about 9273.7101529000. The cubic root of 86001700 is about 441.4034046779.

Adding to 86001700 its reverse (710068), we get a palindrome (86711768).

The spelling of 86001700 in words is "eighty-six million, one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 1213 1418 2426 2836 3545 4852 6065 7090 12130 14180 17725 24260 30325 35450 60650 70900 121300 860017 1720034 3440068 4300085 8600170 17200340 21500425 43000850 86001700