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30140928 = 293231211
BaseRepresentation
bin111001011111…
…0101000000000
32002201022120200
41302332220000
530204002203
62554005200
7514123266
oct162765000
962638520
1030140928
1116017364
12a116800
13632418c
144008436
1529a59a3
hex1cbea00

30140928 has 120 divisors (see below), whose sum is σ = 90220416. Its totient is φ = 9676800.

The previous prime is 30140911. The next prime is 30140933. The reversal of 30140928 is 82904103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142743 + ... + 142953.

Almost surely, 230140928 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 30140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110208).

30140928 is an abundant number, since it is smaller than the sum of its proper divisors (60079488).

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

30140928 is a wasteful number, since it uses less digits than its factorization.

30140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30140928 is about 5490.0754093182. The cubic root of 30140928 is about 311.2090418839.

The spelling of 30140928 in words is "thirty million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 211 248 256 279 288 372 384 422 496 512 558 576 633 744 768 844 992 1116 1152 1266 1488 1536 1688 1899 1984 2232 2304 2532 2976 3376 3798 3968 4464 4608 5064 5952 6541 6752 7596 7936 8928 10128 11904 13082 13504 15192 15872 17856 19623 20256 23808 26164 27008 30384 35712 39246 40512 47616 52328 54016 58869 60768 71424 78492 81024 104656 108032 117738 121536 142848 156984 162048 209312 235476 243072 313968 324096 418624 470952 486144 627936 837248 941904 972288 1255872 1674496 1883808 2511744 3348992 3767616 5023488 7535232 10046976 15070464 30140928