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198028320 = 2535758937
BaseRepresentation
bin10111100110110…
…10110000100000
3111210121212210020
423303122300200
5401143401240
631352233440
74623133020
oct1363326040
9453555706
10198028320
11a1866676
125639b880
1332046a29
141c42ba80
15125ba0d0
hexbcdac20

198028320 has 96 divisors (see below), whose sum is σ = 712914048. Its totient is φ = 45262848.

The previous prime is 198028309. The next prime is 198028351. The reversal of 198028320 is 23820891.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26109 + ... + 32828.

It is an arithmetic number, because the mean of its divisors is an integer number (7426188).

Almost surely, 2198028320 is an apocalyptic number.

198028320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198028320 is an abundant number, since it is smaller than the sum of its proper divisors (514885728).

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

198028320 is a wasteful number, since it uses less digits than its factorization.

198028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58962 (or 58954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 198028320 is about 14072.2535508709. The cubic root of 198028320 is about 582.8754552933.

The spelling of 198028320 in words is "one hundred ninety-eight million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 58937 117874 176811 235748 294685 353622 412559 471496 589370 707244 825118 884055 942992 1178740 1237677 1414488 1650236 1768110 1885984 2062795 2357480 2475354 2828976 3300472 3536220 4125590 4714960 4950708 5657952 6188385 6600944 7072440 8251180 9429920 9901416 12376770 13201888 14144880 16502360 19802832 24753540 28289760 33004720 39605664 49507080 66009440 99014160 198028320