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30198000 = 243537719
BaseRepresentation
bin111001100110…
…0100011110000
32002211012212110
41303030203300
530212314000
62555125320
7514451550
oct163144360
962735773
1030198000
1116056228
12a143840
136344151
144021160
1529b7850
hex1ccc8f0

30198000 has 160 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 6892800.

The previous prime is 30197941. The next prime is 30198013. The reversal of 30198000 is 89103.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41641 + ... + 42359.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 230198000 is an apocalyptic number.

30198000 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 30198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

30198000 is an abundant number, since it is smaller than the sum of its proper divisors (81223440).

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

30198000 is a wasteful number, since it uses less digits than its factorization.

30198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 30198000 is about 5495.2706939695. The cubic root of 30198000 is about 311.4053433363.

The spelling of 30198000 in words is "thirty million, one hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 719 750 840 875 1000 1050 1200 1400 1438 1500 1680 1750 2000 2100 2157 2625 2800 2876 3000 3500 3595 4200 4314 5033 5250 5752 6000 7000 7190 8400 8628 10066 10500 10785 11504 14000 14380 15099 17256 17975 20132 21000 21570 25165 28760 30198 34512 35950 40264 42000 43140 50330 53925 57520 60396 71900 75495 80528 86280 89875 100660 107850 120792 125825 143800 150990 172560 179750 201320 215700 241584 251650 269625 287600 301980 359500 377475 402640 431400 503300 539250 603960 629125 719000 754950 862800 1006600 1078500 1207920 1258250 1438000 1509900 1887375 2013200 2157000 2516500 3019800 3774750 4314000 5033000 6039600 7549500 10066000 15099000 30198000