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84071520 = 2534513499
BaseRepresentation
bin1010000001011…
…01010001100000
312212012021110000
411000231101200
5133010242040
612201540000
72040411321
oct500552140
9185167400
1084071520
11435021a5
12241a4600
1314557680
14b246448
1575aa130
hex502d460

84071520 has 240 divisors, whose sum is σ = 320166000. Its totient is φ = 20653056.

The previous prime is 84071501. The next prime is 84071521. The reversal of 84071520 is 2517048.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×840715202 = 14136040950220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84071521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168231 + ... + 168729.

It is an arithmetic number, because the mean of its divisors is an integer number (1334025).

Almost surely, 284071520 is an apocalyptic number.

84071520 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 84071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160083000).

84071520 is an abundant number, since it is smaller than the sum of its proper divisors (236094480).

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

84071520 is a wasteful number, since it uses less digits than its factorization.

84071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 84071520 is about 9169.0522956301. The cubic root of 84071520 is about 438.0761736535.

84071520 divided by its sum of digits (27) gives a triangular number (3113760 = T2495).

Adding to 84071520 its reverse (2517048), we get a palindrome (86588568).

The spelling of 84071520 in words is "eighty-four million, seventy-one thousand, five hundred twenty".