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84432060 = 22325677001
BaseRepresentation
bin1010000100001…
…01010010111100
312212212121000100
411002011102330
5133103311220
612213401100
72043442416
oct502052274
9185777010
1084432060
1143729069
1224339190
13146527cb
14b2db9b6
15762bd90
hex50854bc

84432060 has 72 divisors (see below), whose sum is σ = 259970256. Its totient is φ = 22176000.

The previous prime is 84432059. The next prime is 84432077. The reversal of 84432060 is 6023448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8560 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (3610698).

Almost surely, 284432060 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 84432060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129985128).

84432060 is an abundant number, since it is smaller than the sum of its proper divisors (175538196).

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

84432060 is a wasteful number, since it uses less digits than its factorization.

84432060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84432060 is about 9188.6919634951. The cubic root of 84432060 is about 438.7015092391.

The spelling of 84432060 in words is "eighty-four million, four hundred thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 7001 12060 14002 21003 28004 35005 42006 63009 70010 84012 105015 126018 140020 210030 252036 315045 420060 469067 630090 938134 1260180 1407201 1876268 2345335 2814402 4221603 4690670 5628804 7036005 8443206 9381340 14072010 16886412 21108015 28144020 42216030 84432060