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196016100 = 223527313011
BaseRepresentation
bin10111010111011…
…11011111100100
3111122211122112120
423223233133210
5400140003400
631241145540
74600052340
oct1353573744
9448748476
10196016100
11a0711885
125578b2b0
13317c0b77
141c066620
151231dca0
hexbaef7e4

196016100 has 144 divisors (see below), whose sum is σ = 669290496. Its totient is φ = 43344000.

The previous prime is 196016099. The next prime is 196016129. The reversal of 196016100 is 1610691.

It is a super-2 number, since 2×1960161002 = 76844622918420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63595 + ... + 66605.

Almost surely, 2196016100 is an apocalyptic number.

196016100 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 196016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334645248).

196016100 is an abundant number, since it is smaller than the sum of its proper divisors (473274396).

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

196016100 is a wasteful number, since it uses less digits than its factorization.

196016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 196016100 is about 14000.5749881924. The cubic root of 196016100 is about 580.8944779295.

Adding to 196016100 its reverse (1610691), we get a palindrome (197626791).

The spelling of 196016100 in words is "one hundred ninety-six million, sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3011 3100 3255 4340 4650 5425 6022 6510 9033 9300 10850 12044 13020 15055 16275 18066 21077 21700 30110 32550 36132 42154 45165 60220 63231 65100 75275 84308 90330 93341 105385 126462 150550 180660 186682 210770 225825 252924 280023 301100 316155 373364 421540 451650 466705 526925 560046 632310 653387 903300 933410 1053850 1120092 1264620 1306774 1400115 1580775 1866820 1960161 2107700 2333525 2613548 2800230 3161550 3266935 3920322 4667050 5600460 6323100 6533870 7000575 7840644 9334100 9800805 13067740 14001150 16334675 19601610 28002300 32669350 39203220 49004025 65338700 98008050 196016100