Search a number
-
+
197430912 = 273378161
BaseRepresentation
bin10111100010010…
…00111010000000
3111202111112022000
423301020322000
5401020242122
631331344000
74615064220
oct1361107200
9452445260
10197430912
11a1498848
1256152000
1331b97b33
141c314080
15124ed0ac
hexbc48e80

197430912 has 128 divisors (see below), whose sum is σ = 666019200. Its totient is φ = 56401920.

The previous prime is 197430901. The next prime is 197430913. The reversal of 197430912 is 219034791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (197430913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20112 + ... + 28272.

It is an arithmetic number, because the mean of its divisors is an integer number (5203275).

Almost surely, 2197430912 is an apocalyptic number.

197430912 is a gapful number since it is divisible by the number (12) 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 197430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333009600).

197430912 is an abundant number, since it is smaller than the sum of its proper divisors (468588288).

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

197430912 is an equidigital number, since it uses as much as digits as its factorization.

197430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 197430912 is about 14051.0110668236. The cubic root of 197430912 is about 582.2887290946.

The spelling of 197430912 in words is "one hundred ninety-seven million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 8161 12096 16322 24192 24483 32644 48966 57127 65288 73449 97932 114254 130576 146898 171381 195864 220347 228508 261152 293796 342762 391728 440694 457016 514143 522304 587592 685524 783456 881388 914032 1028286 1044608 1175184 1371048 1542429 1566912 1762776 1828064 2056572 2350368 2742096 3084858 3133824 3525552 3656128 4113144 4700736 5484192 6169716 7051104 7312256 8226288 9401472 10968384 12339432 14102208 16452576 21936768 24678864 28204416 32905152 49357728 65810304 98715456 197430912