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84029280 = 2535175061
BaseRepresentation
bin1010000001000…
…10111101100000
312212010010111120
411000202331200
5133002414110
612201012240
72040144216
oct500427540
9185103446
1084029280
1143483495
1224184080
131454138a
14b234cb6
15759c870
hex5022f60

84029280 has 48 divisors (see below), whose sum is σ = 264693744. Its totient is φ = 22407680.

The previous prime is 84029263. The next prime is 84029287. The reversal of 84029280 is 8292048.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84029287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87051 + ... + 88010.

It is an arithmetic number, because the mean of its divisors is an integer number (5514453).

Almost surely, 284029280 is an apocalyptic number.

84029280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84029280 is an abundant number, since it is smaller than the sum of its proper divisors (180664464).

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

84029280 is a wasteful number, since it uses less digits than its factorization.

84029280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175079 (or 175071 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84029280 is about 9166.7486056944. The cubic root of 84029280 is about 438.0027939189.

The spelling of 84029280 in words is "eighty-four million, twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 175061 350122 525183 700244 875305 1050366 1400488 1750610 2100732 2625915 2800976 3501220 4201464 5251830 5601952 7002440 8402928 10503660 14004880 16805856 21007320 28009760 42014640 84029280