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84168420 = 22357200401
BaseRepresentation
bin1010000010001…
…00111011100100
312212101012100220
411001010323210
5133021342140
612204004340
72041263660
oct501047344
9185335326
1084168420
1143568a86
12242306b0
131458c7cb
14b26d8a0
1575c8bd0
hex5044ee4

84168420 has 48 divisors (see below), whose sum is σ = 269340288. Its totient is φ = 19238400.

The previous prime is 84168373. The next prime is 84168421. The reversal of 84168420 is 2486148.

It is not an unprimeable number, because it can be changed into a prime (84168421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99781 + ... + 100620.

It is an arithmetic number, because the mean of its divisors is an integer number (5611256).

Almost surely, 284168420 is an apocalyptic number.

It is an amenable number.

84168420 is an abundant number, since it is smaller than the sum of its proper divisors (185171868).

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

84168420 is a wasteful number, since it uses less digits than its factorization.

84168420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200420 (or 200418 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 84168420 is about 9174.3348532741. The cubic root of 84168420 is about 438.2444164492.

It can be divided in two parts, 8416 and 8420, that added together give a triangular number (16836 = T183).

The spelling of 84168420 in words is "eighty-four million, one hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 200401 400802 601203 801604 1002005 1202406 1402807 2004010 2404812 2805614 3006015 4008020 4208421 5611228 6012030 7014035 8416842 12024060 14028070 16833684 21042105 28056140 42084210 84168420