Search a number
-
+
6030528 = 26372641
BaseRepresentation
bin10111000000010011000000
3102100101022220
4113000103000
53020434103
6333131040
7102154500
oct27002300
912311286
106030528
113449909
122029a80
131331b7a
14b2da00
157e1c53
hex5c04c0

6030528 has 84 divisors (see below), whose sum is σ = 18589752. Its totient is φ = 1720320.

The previous prime is 6030517. The next prime is 6030533. The reversal of 6030528 is 8250306.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6030498 and 6030507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9088 + ... + 9728.

Almost surely, 26030528 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 6030528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294876).

6030528 is an abundant number, since it is smaller than the sum of its proper divisors (12559224).

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

6030528 is a wasteful number, since it uses less digits than its factorization.

6030528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6030528 is about 2455.7133383194. The cubic root of 6030528 is about 182.0197217287.

The spelling of 6030528 in words is "six million, thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 641 672 784 1176 1282 1344 1568 1923 2352 2564 3136 3846 4487 4704 5128 7692 8974 9408 10256 13461 15384 17948 20512 26922 30768 31409 35896 41024 53844 61536 62818 71792 94227 107688 123072 125636 143584 188454 215376 251272 287168 376908 430752 502544 753816 861504 1005088 1507632 2010176 3015264 6030528