Search a number
-
+
4574080 = 27571021
BaseRepresentation
bin10001011100101110000000
322121101110101
4101130232000
52132332310
6242012144
753610340
oct21345600
98541411
104574080
112644635
121647054
13c41c74
14870d20
1560543a
hex45cb80

4574080 has 64 divisors (see below), whose sum is σ = 12509280. Its totient is φ = 1566720.

The previous prime is 4574077. The next prime is 4574111. The reversal of 4574080 is 804754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3970 + ... + 4990.

Almost surely, 24574080 is an apocalyptic number.

4574080 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 4574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254640).

4574080 is an abundant number, since it is smaller than the sum of its proper divisors (7935200).

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

4574080 is a wasteful number, since it uses less digits than its factorization.

4574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4574080 is about 2138.7098915000. The cubic root of 4574080 is about 165.9973870978.

The spelling of 4574080 in words is "four million, five hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1021 1120 2042 2240 4084 4480 5105 7147 8168 10210 14294 16336 20420 28588 32672 35735 40840 57176 65344 71470 81680 114352 130688 142940 163360 228704 285880 326720 457408 571760 653440 914816 1143520 2287040 4574080