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30015328 = 257472851
BaseRepresentation
bin111001001111…
…1111101100000
32002110221021211
41302133331200
530140442303
62551155504
7513061150
oct162377540
962427254
1030015328
1115a40a62
12a075b94
1362abc65
143db4760
15297d66d
hex1c9ff60

30015328 has 48 divisors (see below), whose sum is σ = 68995584. Its totient is φ = 12585600.

The previous prime is 30015317. The next prime is 30015329. The reversal of 30015328 is 82351003.

It is a junction number, because it is equal to n+sod(n) for n = 30015299 and 30015308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30015329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9103 + ... + 11953.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 230015328 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 30015328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34497792).

30015328 is an abundant number, since it is smaller than the sum of its proper divisors (38980256).

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

30015328 is a wasteful number, since it uses less digits than its factorization.

30015328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 30015328 is about 5478.6246449269. The cubic root of 30015328 is about 310.7761612072.

The spelling of 30015328 in words is "thirty million, fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 2851 5264 5702 10528 11404 19957 22808 39914 45616 79828 91232 133997 159656 267994 319312 535988 638624 937979 1071976 1875958 2143952 3751916 4287904 7503832 15007664 30015328