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2487380720 = 2451115118719
BaseRepresentation
bin1001010001000010…
…0110101011110000
320102100110000212212
42110100212223300
520043232140340
61050453111252
7115432246556
oct22420465360
96370400785
102487380720
111067074a50
12595028528
13308431616
141984c7bd6
15e8586a65
hex94426af0

2487380720 has 80 divisors (see below), whose sum is σ = 6351022080. Its totient is φ = 898464000.

The previous prime is 2487380717. The next prime is 2487380723. The reversal of 2487380720 is 270837842.

It is an interprime number because it is at equal distance from previous prime (2487380717) and next prime (2487380723).

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 (2487380723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123521 + ... + 142239.

It is an arithmetic number, because the mean of its divisors is an integer number (79387776).

Almost surely, 22487380720 is an apocalyptic number.

2487380720 is a gapful number since it is divisible by the number (20) 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 2487380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175511040).

2487380720 is an abundant number, since it is smaller than the sum of its proper divisors (3863641360).

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

2487380720 is a wasteful number, since it uses less digits than its factorization.

2487380720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18894 (or 18888 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 2487380720 is about 49873.6475505853. The cubic root of 2487380720 is about 1354.9213554388.

The spelling of 2487380720 in words is "two billion, four hundred eighty-seven million, three hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 2416 3020 3322 6040 6644 8305 12080 13288 16610 18719 26576 33220 37438 66440 74876 93595 132880 149752 187190 205909 299504 374380 411818 748760 823636 1029545 1497520 1647272 2059090 2826569 3294544 4118180 5653138 8236360 11306276 14132845 16472720 22612552 28265690 31092259 45225104 56531380 62184518 113062760 124369036 155461295 226125520 248738072 310922590 497476144 621845180 1243690360 2487380720