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198606096 = 24321328161
BaseRepresentation
bin10111101011001…
…11110100010000
3111211201020100100
423311213310100
5401320343341
631412452400
74631060343
oct1365476420
9454636310
10198606096
11a2120777
125661a100
13321b9a00
141c53c45a
15126813b6
hexbd67d10

198606096 has 90 divisors (see below), whose sum is σ = 601939338. Its totient is φ = 61102080.

The previous prime is 198606073. The next prime is 198606101. The reversal of 198606096 is 690606891.

It can be written as a sum of positive squares in 3 ways, for example, as 810000 + 197796096 = 900^2 + 14064^2 .

It is a super-2 number, since 2×1986060962 = 78888762736722432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20256 + ... + 28416.

Almost surely, 2198606096 is an apocalyptic number.

198606096 is a gapful number since it is divisible by the number (16) 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 198606096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300969669).

198606096 is an abundant number, since it is smaller than the sum of its proper divisors (403333242).

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

198606096 is a wasteful number, since it uses less digits than its factorization.

198606096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 198606096 is about 14092.7675067745. The cubic root of 198606096 is about 583.4417790942.

The spelling of 198606096 in words is "one hundred ninety-eight million, six hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 8161 12168 16322 24336 24483 32644 48966 65288 73449 97932 106093 130576 146898 195864 212186 293796 318279 391728 424372 587592 636558 848744 954837 1175184 1273116 1379209 1697488 1909674 2546232 2758418 3819348 4137627 5092464 5516836 7638696 8275254 11033672 12412881 15277392 16550508 22067344 24825762 33101016 49651524 66202032 99303048 198606096