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30528360 = 23335231229
BaseRepresentation
bin111010001110…
…1001101101000
32010110000001000
41310131031220
530303401420
63010155000
7520325652
oct164351550
963400030
1030528360
1116261455
12a282a60
13642b625
1440a96d2
152a30690
hex1d1d368

30528360 has 128 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 7780608.

The previous prime is 30528353. The next prime is 30528373. The reversal of 30528360 is 6382503.

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

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 31 ways as a sum of consecutive naturals, for example, 24226 + ... + 25454.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 230528360 is an apocalyptic number.

30528360 is a gapful number since it is divisible by the number (30) 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 30528360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136000).

30528360 is an abundant number, since it is smaller than the sum of its proper divisors (75743640).

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

30528360 is a wasteful number, since it uses less digits than its factorization.

30528360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1262 counting only the distinct ones).

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

The square root of 30528360 is about 5525.2475057684. The cubic root of 30528360 is about 312.5367978001.

The spelling of 30528360 in words is "thirty million, five hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1229 1242 1380 1656 2070 2458 2484 2760 3105 3687 4140 4916 4968 6145 6210 7374 8280 9832 11061 12290 12420 14748 18435 22122 24580 24840 28267 29496 33183 36870 44244 49160 55305 56534 66366 73740 84801 88488 110610 113068 132732 141335 147480 165915 169602 221220 226136 254403 265464 282670 331830 339204 424005 442440 508806 565340 663660 678408 763209 848010 1017612 1130680 1272015 1327320 1526418 1696020 2035224 2544030 3052836 3392040 3816045 5088060 6105672 7632090 10176120 15264180 30528360