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198010080 = 25325137507
BaseRepresentation
bin10111100110101…
…10010011100000
3111210120221202200
423303112103200
5401142310310
631352013200
74623025602
oct1363262340
9453527680
10198010080
11a18539a4
1256391200
133203b638
141c425172
15125b49c0
hexbcd64e0

198010080 has 72 divisors (see below), whose sum is σ = 675714312. Its totient is φ = 52802304.

The previous prime is 198010049. The next prime is 198010081. The reversal of 198010080 is 80010891.

198010080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198010081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67314 + ... + 70193.

It is an arithmetic number, because the mean of its divisors is an integer number (9384921).

Almost surely, 2198010080 is an apocalyptic number.

198010080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198010080 is an abundant number, since it is smaller than the sum of its proper divisors (477704232).

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

198010080 is a wasteful number, since it uses less digits than its factorization.

198010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137528 (or 137517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 198010080 is about 14071.6054521153. The cubic root of 198010080 is about 582.8575589056.

The spelling of 198010080 in words is "one hundred ninety-eight million, ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 137507 275014 412521 550028 687535 825042 1100056 1237563 1375070 1650084 2062605 2200112 2475126 2750140 3300168 4125210 4400224 4950252 5500280 6187815 6600336 8250420 9900504 11000560 12375630 13200672 16500840 19801008 22001120 24751260 33001680 39602016 49502520 66003360 99005040 198010080