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30632028 = 223717191129
BaseRepresentation
bin111010011011…
…0100001011100
32010122021020120
41310312201130
530320211103
63012314540
7521240130
oct164664134
963567216
1030632028
1116322329
12a312a50
13646687b
1440d53c0
152a51253
hex1d3685c

30632028 has 96 divisors (see below), whose sum is σ = 91123200. Its totient is φ = 7796736.

The previous prime is 30632023. The next prime is 30632029. The reversal of 30632028 is 82023603.

It is a super-2 number, since 2×306320282 = 1876642278785568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30631989 and 30632007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30632023) by changing a digit.

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, 26568 + ... + 27696.

It is an arithmetic number, because the mean of its divisors is an integer number (949200).

Almost surely, 230632028 is an apocalyptic number.

30632028 is a gapful number since it is divisible by the number (38) 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 30632028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45561600).

30632028 is an abundant number, since it is smaller than the sum of its proper divisors (60491172).

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

30632028 is a wasteful number, since it uses less digits than its factorization.

30632028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30632028 is about 5534.6208542230. The cubic root of 30632028 is about 312.8901682306.

The spelling of 30632028 in words is "thirty million, six hundred thirty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1129 1292 1428 1596 1938 2258 2261 3387 3876 4516 4522 6774 6783 7903 9044 13548 13566 15806 19193 21451 23709 27132 31612 38386 42902 47418 57579 64353 76772 85804 94836 115158 128706 134351 150157 230316 257412 268702 300314 364667 403053 450471 537404 600628 729334 806106 900942 1094001 1458668 1612212 1801884 2188002 2552669 4376004 5105338 7658007 10210676 15316014 30632028