Search a number
-
+
6330528 = 253317431
BaseRepresentation
bin11000001001100010100000
3102220121212000
4120021202200
53110034103
6343404000
7104544231
oct30114240
912817760
106330528
113634246
122153600
131408599
14bab088
15850aa3
hex6098a0

6330528 has 96 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 1981440.

The previous prime is 6330521. The next prime is 6330529. The reversal of 6330528 is 8250336.

6330528 is a `hidden beast` number, since 633 + 0 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6330521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14473 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 26330528 is an apocalyptic number.

6330528 is a gapful number since it is divisible by the number (68) 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 6330528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

6330528 is an abundant number, since it is smaller than the sum of its proper divisors (13264992).

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

6330528 is a wasteful number, since it uses less digits than its factorization.

6330528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6330528 is about 2516.0540534734. The cubic root of 6330528 is about 184.9893151852.

The spelling of 6330528 in words is "six million, three hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 431 432 459 544 612 816 862 864 918 1224 1293 1632 1724 1836 2448 2586 3448 3672 3879 4896 5172 6896 7327 7344 7758 10344 11637 13792 14654 14688 15516 20688 21981 23274 29308 31032 41376 43962 46548 58616 62064 65943 87924 93096 117232 124128 131886 175848 186192 197829 234464 263772 351696 372384 395658 527544 703392 791316 1055088 1582632 2110176 3165264 6330528