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84032120 = 2352100803
BaseRepresentation
bin1010000001000…
…11101001111000
312212010021101202
411000203221320
5133003011440
612201033332
72040155414
oct500435170
9185107352
1084032120
1143485637
1224185848
1314542763
14b235d44
15759d615
hex5023a78

84032120 has 16 divisors (see below), whose sum is σ = 189072360. Its totient is φ = 33612832.

The previous prime is 84032119. The next prime is 84032141. The reversal of 84032120 is 2123048.

It is a super-2 number, since 2×840321202 = 14122794383388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 84032092 and 84032101.

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 3 ways as a sum of consecutive naturals, for example, 1050362 + ... + 1050441.

Almost surely, 284032120 is an apocalyptic number.

It is an amenable number.

84032120 is an abundant number, since it is smaller than the sum of its proper divisors (105040240).

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

84032120 is a wasteful number, since it uses less digits than its factorization.

84032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100814 (or 2100810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 84032120 is about 9166.9035120917. The cubic root of 84032120 is about 438.0077283653.

Adding to 84032120 its reverse (2123048), we get a palindrome (86155168).

The spelling of 84032120 in words is "eighty-four million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2100803 4201606 8403212 10504015 16806424 21008030 42016060 84032120