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199296006 = 23713537197
BaseRepresentation
bin10111110000100…
…00010000000110
3111220000021201120
423320100100012
5402004433011
631435334410
74636662630
oct1370202006
9456007646
10199296006
11a2552048
12568b1406
133239ba40
141c67ba50
151276aa06
hexbe10406

199296006 has 128 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 50319360.

The previous prime is 199295983. The next prime is 199296011. The reversal of 199296006 is 600692991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2054550 + ... + 2054646.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2199296006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199296006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

199296006 is an abundant number, since it is smaller than the sum of its proper divisors (312800250).

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

199296006 is a wasteful number, since it uses less digits than its factorization.

199296006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 199296006 is about 14117.2237355650. The cubic root of 199296006 is about 584.1165773248.

The spelling of 199296006 in words is "one hundred ninety-nine million, two hundred ninety-six thousand, six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 71 78 91 97 106 142 159 182 194 213 273 291 318 371 426 497 546 582 679 689 742 923 994 1113 1261 1358 1378 1491 1846 2037 2067 2226 2522 2769 2982 3763 3783 4074 4134 4823 5141 5538 6461 6887 7526 7566 8827 9646 10282 11289 12922 13774 14469 15423 17654 19383 20661 22578 26341 26481 28938 30846 35987 38766 41322 48209 48919 52682 52962 66833 71974 79023 89531 96418 97838 107961 133666 144627 146757 158046 179062 200499 215922 268593 289254 293514 342433 365011 400998 467831 537186 626717 684866 730022 935662 1027299 1095033 1253434 1403493 1880151 2054598 2190066 2555077 2806986 3760302 4745143 5110154 7665231 9490286 14235429 15330462 28470858 33216001 66432002 99648003 199296006