Search a number
-
+
30360528 = 2433116389
BaseRepresentation
bin111001111010…
…0001111010000
32010010110211000
41303310033100
530233014103
63002422000
7516026442
oct163641720
963113730
1030360528
1116157350
12a201900
1363a0113
144064492
1529eaaa3
hex1cf43d0

30360528 has 80 divisors (see below), whose sum is σ = 95083200. Its totient is φ = 9198720.

The previous prime is 30360511. The next prime is 30360559. The reversal of 30360528 is 82506303.

30360528 is a `hidden beast` number, since 30 + 3 + 605 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558 + ... + 7946.

It is an arithmetic number, because the mean of its divisors is an integer number (1188540).

Almost surely, 230360528 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 30360528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47541600).

30360528 is an abundant number, since it is smaller than the sum of its proper divisors (64722672).

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

30360528 is a wasteful number, since it uses less digits than its factorization.

30360528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6405 counting only the distinct ones).

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

The square root of 30360528 is about 5510.0388383386. The cubic root of 30360528 is about 311.9630133670.

The spelling of 30360528 in words is "thirty million, three hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 6389 12778 19167 25556 38334 51112 57501 70279 76668 102224 115002 140558 153336 172503 210837 230004 281116 306672 345006 421674 460008 562232 632511 690012 843348 920016 1124464 1265022 1380024 1686696 1897533 2530044 2760048 3373392 3795066 5060088 7590132 10120176 15180264 30360528