Search a number
-
+
2753012320 = 25523971993
BaseRepresentation
bin1010010000010111…
…1010001001100000
321002212021111221021
42210011322021200
521114232343240
61133102335224
7125136134662
oct24405721140
97085244837
102753012320
1111930049a3
12649b8a514
1334b487c96
141c18b2532
15111a5754a
hexa417a260

2753012320 has 48 divisors (see below), whose sum is σ = 6531295680. Its totient is φ = 1096582144.

The previous prime is 2753012293. The next prime is 2753012321. The reversal of 2753012320 is 232103572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753012321) 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, 2244 + ... + 74236.

It is an arithmetic number, because the mean of its divisors is an integer number (136068660).

Almost surely, 22753012320 is an apocalyptic number.

2753012320 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 2753012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265647840).

2753012320 is an abundant number, since it is smaller than the sum of its proper divisors (3778283360).

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

2753012320 is a wasteful number, since it uses less digits than its factorization.

2753012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72247 (or 72239 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2753012320 is about 52469.1558918190. The cubic root of 2753012320 is about 1401.5310325436.

Adding to 2753012320 its reverse (232103572), we get a palindrome (2985115892).

The spelling of 2753012320 in words is "two billion, seven hundred fifty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 7648 9560 19120 38240 71993 143986 287972 359965 575944 719930 1151888 1439860 2303776 2879720 5759440 11518880 17206327 34412654 68825308 86031635 137650616 172063270 275301232 344126540 550602464 688253080 1376506160 2753012320