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84712320 = 27325711191
BaseRepresentation
bin1010000110010…
…01101110000000
312220101211110100
411003021232000
5133141243240
612223402400
72046020460
oct503115600
9186354410
1084712320
11438aa690
1224453400
1314720244
14b371ba0
157684e30
hex50c9b80

84712320 has 384 divisors, whose sum is σ = 366612480. Its totient is φ = 17510400.

The previous prime is 84712291. The next prime is 84712363. The reversal of 84712320 is 2321748.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×847123203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443425 + ... + 443615.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 284712320 is an apocalyptic number.

84712320 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 84712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

84712320 is an abundant number, since it is smaller than the sum of its proper divisors (281900160).

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

84712320 is a wasteful number, since it uses less digits than its factorization.

84712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84712320 is about 9203.9295955586. The cubic root of 84712320 is about 439.1863752032.

The spelling of 84712320 in words is "eighty-four million, seven hundred twelve thousand, three hundred twenty".