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198134970 = 235114313963
BaseRepresentation
bin10111100111101…
…00110010111010
3111210211022002020
423303310302322
5401210304340
631354415310
74624055655
oct1363646272
9453738066
10198134970
11a1929810
1256431536
1332083437
141c45889c
15125db9d0
hexbcf4cba

198134970 has 64 divisors (see below), whose sum is σ = 530855424. Its totient is φ = 46912320.

The previous prime is 198134969. The next prime is 198134987. The reversal of 198134970 is 79431891.

It is a happy number.

198134970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1981349703 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7209 + ... + 21171.

It is an arithmetic number, because the mean of its divisors is an integer number (8294616).

Almost surely, 2198134970 is an apocalyptic number.

198134970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198134970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265427712).

198134970 is an abundant number, since it is smaller than the sum of its proper divisors (332720454).

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

198134970 is a wasteful number, since it uses less digits than its factorization.

198134970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 198134970 is about 14076.0424125533. The cubic root of 198134970 is about 582.9800741866.

The spelling of 198134970 in words is "one hundred ninety-eight million, one hundred thirty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 13963 14190 27926 41889 69815 83778 139630 153593 209445 307186 418890 460779 600409 767965 921558 1200818 1535930 1801227 2303895 3002045 3602454 4607790 6004090 6604499 9006135 13208998 18012270 19813497 33022495 39626994 66044990 99067485 198134970