Search a number
-
+
196393104 = 243229131359
BaseRepresentation
bin10111011010010…
…11100010010000
3111200112210200200
423231023202100
5400234034404
631253215200
74603212435
oct1355134220
9450483620
10196393104
11a094a056
1255931500
13318c364b
141c123b8c
1512395839
hexbb4b890

196393104 has 120 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 62549760.

The previous prime is 196393097. The next prime is 196393111. The reversal of 196393104 is 401393691.

196393104 is a `hidden beast` number, since 1 + 9 + 639 + 3 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (196393097) and next prime (196393111).

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

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 23 ways as a sum of consecutive naturals, for example, 546877 + ... + 547235.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2196393104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196393104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

196393104 is an abundant number, since it is smaller than the sum of its proper divisors (378123696).

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

196393104 is a wasteful number, since it uses less digits than its factorization.

196393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 196393104 is about 14014.0323961378. The cubic root of 196393104 is about 581.2666570322.

The spelling of 196393104 in words is "one hundred ninety-six million, three hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 131 144 174 232 261 262 348 359 393 464 522 524 696 718 786 1044 1048 1077 1179 1392 1436 1572 2088 2096 2154 2358 2872 3144 3231 3799 4176 4308 4716 5744 6288 6462 7598 8616 9432 10411 11397 12924 15196 17232 18864 20822 22794 25848 30392 31233 34191 41644 45588 47029 51696 60784 62466 68382 83288 91176 93699 94058 124932 136764 141087 166576 182352 187398 188116 249864 273528 282174 374796 376232 423261 499728 547056 564348 749592 752464 846522 1128696 1363841 1499184 1693044 2257392 2727682 3386088 4091523 5455364 6772176 8183046 10910728 12274569 16366092 21821456 24549138 32732184 49098276 65464368 98196552 196393104