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198162380 = 225133720599
BaseRepresentation
bin10111100111110…
…11011111001100
3111210212200200102
423303323133030
5401212144010
631355150232
74624231613
oct1363733714
9453780612
10198162380
11a1948369
1256445378
1332092a60
141c46487a
15125e4ba5
hexbcfb7cc

198162380 has 48 divisors (see below), whose sum is σ = 460286400. Its totient is φ = 71186688.

The previous prime is 198162379. The next prime is 198162397. The reversal of 198162380 is 83261891.

198162380 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

198162380 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680 + ... + 19919.

It is an arithmetic number, because the mean of its divisors is an integer number (9589300).

Almost surely, 2198162380 is an apocalyptic number.

198162380 is a gapful number since it is divisible by the number (10) 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 198162380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230143200).

198162380 is an abundant number, since it is smaller than the sum of its proper divisors (262124020).

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

198162380 is a wasteful number, since it uses less digits than its factorization.

198162380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20658 (or 20656 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 198162380 is about 14077.0160190290. The cubic root of 198162380 is about 583.0069561096.

The spelling of 198162380 in words is "one hundred ninety-eight million, one hundred sixty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 20599 41198 82396 102995 205990 267787 411980 535574 762163 1071148 1338935 1524326 2677870 3048652 3810815 5355740 7621630 9908119 15243260 19816238 39632476 49540595 99081190 198162380