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84360480 = 2535181971
BaseRepresentation
bin1010000011100…
…11110100100000
312212201221211020
411001303310200
5133044013410
612212045440
72043023631
oct501636440
9185657736
1084360480
114368a306
1224303880
1314629059
14b2bd888
157615a70
hex5073d20

84360480 has 96 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 22348800.

The previous prime is 84360469. The next prime is 84360503. The reversal of 84360480 is 8406348.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 86395 + ... + 87365.

It is an arithmetic number, because the mean of its divisors is an integer number (2786238).

Almost surely, 284360480 is an apocalyptic number.

84360480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

84360480 is an abundant number, since it is smaller than the sum of its proper divisors (183118368).

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

84360480 is a wasteful number, since it uses less digits than its factorization.

84360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84360480 is about 9184.7961327402. The cubic root of 84360480 is about 438.5774997404.

The spelling of 84360480 in words is "eighty-four million, three hundred sixty thousand, four hundred eighty".