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2089423360 = 2951018081
BaseRepresentation
bin111110010001010…
…0001001000000000
312101121121201000101
41330202201020000
513234343021420
6543155332144
7102530543203
oct17442411000
95347551011
102089423360
11982474772
124a38b1054
13273b569ab
1415b6d593a
15c367860a
hex7c8a1200

2089423360 has 80 divisors (see below), whose sum is σ = 5059946232. Its totient is φ = 827392000.

The previous prime is 2089423351. The next prime is 2089423361. The reversal of 2089423360 is 633249802.

It can be written as a sum of positive squares in 4 ways, for example, as 1960009984 + 129413376 = 44272^2 + 11376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2089423361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254520 + ... + 262600.

Almost surely, 22089423360 is an apocalyptic number.

2089423360 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 2089423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529973116).

2089423360 is an abundant number, since it is smaller than the sum of its proper divisors (2970522872).

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

2089423360 is an equidigital number, since it uses as much as digits as its factorization.

2089423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 2089423360 is about 45710.2106755154. The cubic root of 2089423360 is about 1278.4256686173.

The spelling of 2089423360 in words is "two billion, eighty-nine million, four hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1280 1616 2020 2560 3232 4040 6464 8080 8081 12928 16160 16162 25856 32320 32324 40405 51712 64640 64648 80810 129280 129296 161620 258560 258592 323240 517184 646480 816181 1034368 1292960 1632362 2068736 2585920 3264724 4080905 4137472 5171840 6529448 8161810 10343680 13058896 16323620 20687360 26117792 32647240 52235584 65294480 104471168 130588960 208942336 261177920 417884672 522355840 1044711680 2089423360