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85334000 = 245342667
BaseRepresentation
bin1010001011000…
…01011111110000
312221120102020112
411011201133300
5133321142000
612245000452
72054220113
oct505413760
9187512215
1085334000
1144194774
12246b3128
13148aa1bb
14b49457a
157759235
hex51617f0

85334000 has 40 divisors (see below), whose sum is σ = 206342448. Its totient is φ = 34132800.

The previous prime is 85333987. The next prime is 85334009. The reversal of 85334000 is 43358.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85334009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19334 + ... + 23333.

Almost surely, 285334000 is an apocalyptic number.

85334000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85334000 is an abundant number, since it is smaller than the sum of its proper divisors (121008448).

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

85334000 is a wasteful number, since it uses less digits than its factorization.

85334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42690 (or 42674 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 85334000 is about 9237.6403913554. The cubic root of 85334000 is about 440.2581130188.

Adding to 85334000 its reverse (43358), we get a palindrome (85377358).

The spelling of 85334000 in words is "eighty-five million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 42667 85334 170668 213335 341336 426670 682672 853340 1066675 1706680 2133350 3413360 4266700 5333375 8533400 10666750 17066800 21333500 42667000 85334000