Search a number
-
+
197682912 = 2532798057
BaseRepresentation
bin10111100100001…
…10011011100000
3111202222022222100
423302012123200
5401101323122
631341010400
74620164010
oct1362063340
9452868870
10197682912
11a1650109
1256253a00
1331c5574b
141c37bc40
151254caac
hexbc866e0

197682912 has 72 divisors (see below), whose sum is σ = 642476016. Its totient is φ = 56480256.

The previous prime is 197682889. The next prime is 197682931. The reversal of 197682912 is 219286791.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 47013 + ... + 51044.

It is an arithmetic number, because the mean of its divisors is an integer number (8923278).

Almost surely, 2197682912 is an apocalyptic number.

197682912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197682912 is an abundant number, since it is smaller than the sum of its proper divisors (444793104).

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

197682912 is a wasteful number, since it uses less digits than its factorization.

197682912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98080 (or 98069 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 197682912 is about 14059.9755334069. The cubic root of 197682912 is about 582.5363674053.

The spelling of 197682912 in words is "one hundred ninety-seven million, six hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 98057 196114 294171 392228 588342 686399 784456 882513 1176684 1372798 1568912 1765026 2059197 2353368 2745596 3137824 3530052 4118394 4706736 5491192 6177591 7060104 8236788 9413472 10982384 12355182 14120208 16473576 21964768 24710364 28240416 32947152 49420728 65894304 98841456 197682912