Search a number
-
+
8054064760 = 235747612011
BaseRepresentation
bin1111000000000111…
…10100011001111000
3202210022010212210211
413200003310121320
5112443320033020
63411110320504
7403405264240
oct74003643170
922708125724
108054064760
113463345075
121689359134
139b47c26c1
1456593cb20
1532212985a
hex1e00f4678

8054064760 has 64 divisors (see below), whose sum is σ = 21151134720. Its totient is φ = 2702636160.

The previous prime is 8054064757. The next prime is 8054064761. The reversal of 8054064760 is 674604508.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8054064761) 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, 292846 + ... + 319165.

It is an arithmetic number, because the mean of its divisors is an integer number (330486480).

Almost surely, 28054064760 is an apocalyptic number.

It is an amenable number.

8054064760 is an abundant number, since it is smaller than the sum of its proper divisors (13097069960).

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

8054064760 is a wasteful number, since it uses less digits than its factorization.

8054064760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612076 (or 612072 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 8054064760 is about 89744.4413877539. The cubic root of 8054064760 is about 2004.4952853018.

The spelling of 8054064760 in words is "eight billion, fifty-four million, sixty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 612011 1224022 2448044 3060055 4284077 4896088 6120110 8568154 12240220 17136308 21420385 24480440 28764517 34272616 42840770 57529034 85681540 115058068 143822585 171363080 201351619 230116136 287645170 402703238 575290340 805406476 1006758095 1150580680 1610812952 2013516190 4027032380 8054064760