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198628160 = 2653120023
BaseRepresentation
bin10111101011011…
…01001101000000
3111211202100121112
423311231031000
5401322100120
631413142452
74631211563
oct1365551500
9454670545
10198628160
11a2136305
125662aa28
13321c6a73
141c5464da
1512687bc5
hexbd6d340

198628160 has 56 divisors (see below), whose sum is σ = 488265216. Its totient is φ = 76884480.

The previous prime is 198628159. The next prime is 198628169. The reversal of 198628160 is 61826891.

198628160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198628169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 19931.

Almost surely, 2198628160 is an apocalyptic number.

198628160 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 198628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244132608).

198628160 is an abundant number, since it is smaller than the sum of its proper divisors (289637056).

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

198628160 is a wasteful number, since it uses less digits than its factorization.

198628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20071 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 198628160 is about 14093.5502979200. The cubic root of 198628160 is about 583.4633839744.

The spelling of 198628160 in words is "one hundred ninety-eight million, six hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 20023 40046 80092 100115 160184 200230 320368 400460 620713 640736 800920 1241426 1281472 1601840 2482852 3103565 3203680 4965704 6207130 6407360 9931408 12414260 19862816 24828520 39725632 49657040 99314080 198628160