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84020720 = 2457592543
BaseRepresentation
bin1010000001000…
…00110111110000
312212002200202112
411000200313300
5133002130340
612200504452
72040110240
oct500406760
9185080675
1084020720
1143478013
122417b128
131453a504
14b231b20
15759a065
hex5020df0

84020720 has 80 divisors (see below), whose sum is σ = 227128320. Its totient is φ = 28307712.

The previous prime is 84020711. The next prime is 84020723. The reversal of 84020720 is 2702048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84020723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31769 + ... + 34311.

It is an arithmetic number, because the mean of its divisors is an integer number (2839104).

Almost surely, 284020720 is an apocalyptic number.

84020720 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 84020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564160).

84020720 is an abundant number, since it is smaller than the sum of its proper divisors (143107600).

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

84020720 is a wasteful number, since it uses less digits than its factorization.

84020720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 84020720 is about 9166.2816888856. The cubic root of 84020720 is about 437.9879204080.

Adding to 84020720 its reverse (2702048), we get a palindrome (86722768).

The spelling of 84020720 in words is "eighty-four million, twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 2543 3304 4130 4720 5086 6608 8260 10172 12715 16520 17801 20344 25430 33040 35602 40688 50860 71204 89005 101720 142408 150037 178010 203440 284816 300074 356020 600148 712040 750185 1050259 1200296 1424080 1500370 2100518 2400592 3000740 4201036 5251295 6001480 8402072 10502590 12002960 16804144 21005180 42010360 84020720