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30975300 = 223252127271
BaseRepresentation
bin111011000101…
…0010101000100
32011021201010100
41312022111010
530412202200
63023524100
7524166666
oct166122504
964251110
1030975300
1116537224
12a459630
136556ba5
144184536
152abcd00
hex1d8a544

30975300 has 108 divisors (see below), whose sum is σ = 98215936. Its totient is φ = 8164800.

The previous prime is 30975299. The next prime is 30975317. The reversal of 30975300 is 357903.

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 35 ways as a sum of consecutive naturals, for example, 114165 + ... + 114435.

Almost surely, 230975300 is an apocalyptic number.

30975300 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 30975300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49107968).

30975300 is an abundant number, since it is smaller than the sum of its proper divisors (67240636).

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

30975300 is a wasteful number, since it uses less digits than its factorization.

30975300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 30975300 is about 5565.5457953376. The cubic root of 30975300 is about 314.0546107025.

The spelling of 30975300 in words is "thirty million, nine hundred seventy-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 127 150 180 225 254 271 300 381 450 508 542 635 762 813 900 1084 1143 1270 1355 1524 1626 1905 2286 2439 2540 2710 3175 3252 3810 4065 4572 4878 5420 5715 6350 6775 7620 8130 9525 9756 11430 12195 12700 13550 16260 19050 20325 22860 24390 27100 28575 34417 38100 40650 48780 57150 60975 68834 81300 103251 114300 121950 137668 172085 206502 243900 309753 344170 413004 516255 619506 688340 860425 1032510 1239012 1548765 1720850 2065020 2581275 3097530 3441700 5162550 6195060 7743825 10325100 15487650 30975300