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198436420 = 22571328387
BaseRepresentation
bin10111101001111…
…10011001000100
3111211101121121001
423310332121010
5401244431140
631405103044
74626452560
oct1364763104
9454347531
10198436420
11a2015246
1256557a84
133215a700
141c4d66a0
151264ae9a
hexbd3e644

198436420 has 72 divisors (see below), whose sum is σ = 515761344. Its totient is φ = 62794368.

The previous prime is 198436391. The next prime is 198436423. The reversal of 198436420 is 24634891.

It is a self number, because there is not a number n which added to its sum of digits gives 198436420.

It is not an unprimeable number, because it can be changed into a prime (198436423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19467 + ... + 27853.

It is an arithmetic number, because the mean of its divisors is an integer number (7163352).

Almost surely, 2198436420 is an apocalyptic number.

198436420 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 198436420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257880672).

198436420 is an abundant number, since it is smaller than the sum of its proper divisors (317324924).

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

198436420 is a wasteful number, since it uses less digits than its factorization.

198436420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 198436420 is about 14086.7462531274. The cubic root of 198436420 is about 583.2755803141.

The spelling of 198436420 in words is "one hundred ninety-eight million, four hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 8387 11830 16774 23660 33548 41935 58709 83870 109031 117418 167740 218062 234836 293545 436124 545155 587090 763217 1090310 1174180 1417403 1526434 2180620 2834806 3052868 3816085 5669612 7087015 7632170 9921821 14174030 15264340 19843642 28348060 39687284 49609105 99218210 198436420