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198720912 = 243133110273
BaseRepresentation
bin10111101100000…
…11110110010000
3111211221001211210
423312003312100
5401333032122
631415140120
74632046155
oct1366036620
9454831753
10198720912
11a2199a65
1256674640
133222a050
141c56c22c
15126a540c
hexbd83d90

198720912 has 80 divisors (see below), whose sum is σ = 570741248. Its totient is φ = 59166720.

The previous prime is 198720901. The next prime is 198720941. The reversal of 198720912 is 219027891.

198720912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1987209122 = 78980001732223488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14208 + ... + 24480.

Almost surely, 2198720912 is an apocalyptic number.

198720912 is a gapful number since it is divisible by the number (12) 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 198720912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285370624).

198720912 is an abundant number, since it is smaller than the sum of its proper divisors (372020336).

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

198720912 is a wasteful number, since it uses less digits than its factorization.

198720912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 198720912 is about 14096.8404970759. The cubic root of 198720912 is about 583.5541884443.

The spelling of 198720912 in words is "one hundred ninety-eight million, seven hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 10273 19344 20546 30819 41092 61638 82184 123276 133549 164368 246552 267098 318463 400647 493104 534196 636926 801294 955389 1068392 1273852 1602588 1910778 2136784 2547704 3205176 3821556 4140019 5095408 6410352 7643112 8280038 12420057 15286224 16560076 24840114 33120152 49680228 66240304 99360456 198720912