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4568080 = 2451129179
BaseRepresentation
bin10001011011010000010000
322121002020011
4101123100100
52132134310
6241524304
753554006
oct21332020
98532204
104568080
112640080
121643694
13c3c30a
1486ca76
1560378a
hex45b410

4568080 has 80 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 1594880.

The previous prime is 4568077. The next prime is 4568089. The reversal of 4568080 is 808654.

4568080 = T175 + T176 + ... + T319.

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 (4568089) 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, 25431 + ... + 25609.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 24568080 is an apocalyptic number.

4568080 is a gapful number since it is divisible by the number (40) 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 4568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

4568080 is an abundant number, since it is smaller than the sum of its proper divisors (7484720).

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

4568080 is a wasteful number, since it uses less digits than its factorization.

4568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4568080 is about 2137.3067164074. The cubic root of 4568080 is about 165.9247735791.

The spelling of 4568080 in words is "four million, five hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 179 220 232 290 319 358 440 464 580 638 716 880 895 1160 1276 1432 1595 1790 1969 2320 2552 2864 3190 3580 3938 5104 5191 6380 7160 7876 9845 10382 12760 14320 15752 19690 20764 25520 25955 31504 39380 41528 51910 57101 78760 83056 103820 114202 157520 207640 228404 285505 415280 456808 571010 913616 1142020 2284040 4568080