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5772580 = 22511191381
BaseRepresentation
bin10110000001010100100100
3101212021111021
4112001110210
52434210310
6323420524
7100031452
oct26012444
911767437
105772580
113293030
121b24744
131271638
14aa39d2
157905da
hex581524

5772580 has 48 divisors (see below), whose sum is σ = 13930560. Its totient is φ = 1987200.

The previous prime is 5772553. The next prime is 5772581. The reversal of 5772580 is 852775.

5772580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 54 + 74 + 78 + 25 + 54 + 84 + 0 .

It is not an unprimeable number, because it can be changed into a prime (5772581) 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, 3490 + ... + 4870.

It is an arithmetic number, because the mean of its divisors is an integer number (290220).

Almost surely, 25772580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5772580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965280).

5772580 is an abundant number, since it is smaller than the sum of its proper divisors (8157980).

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

5772580 is a wasteful number, since it uses less digits than its factorization.

5772580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 5772580 is about 2402.6194039007. The cubic root of 5772580 is about 179.3865951381.

The spelling of 5772580 in words is "five million, seven hundred seventy-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1381 2090 2762 4180 5524 6905 13810 15191 26239 27620 30382 52478 60764 75955 104956 131195 151910 262390 288629 303820 524780 577258 1154516 1443145 2886290 5772580