[go: up one dir, main page]

Search a number
-
+
196006664 = 2373611171
BaseRepresentation
bin10111010111011…
…01001100001000
3111122211011121002
423223231030020
5400134203124
631241034132
74600013000
oct1353551410
9448734532
10196006664
11a0705787
1255785948
13317b9799
141c063000
151231b0ae
hexbaed308

196006664 has 64 divisors (see below), whose sum is σ = 435984000. Its totient is φ = 82555200.

The previous prime is 196006661. The next prime is 196006687. The reversal of 196006664 is 466600691.

196006664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1960066642 = 76837224664817792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (196006661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166799 + ... + 167969.

It is an arithmetic number, because the mean of its divisors is an integer number (6812250).

Almost surely, 2196006664 is an apocalyptic number.

196006664 is a gapful number since it is divisible by the number (14) 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 196006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217992000).

196006664 is an abundant number, since it is smaller than the sum of its proper divisors (239977336).

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

196006664 is a wasteful number, since it uses less digits than its factorization.

196006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 196006664 is about 14000.2379979770. The cubic root of 196006664 is about 580.8851565723.

The spelling of 196006664 in words is "one hundred ninety-six million, six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 343 392 427 488 686 854 1171 1372 1708 2342 2744 2989 3416 4684 5978 8197 9368 11956 16394 20923 23912 32788 41846 57379 65576 71431 83692 114758 142862 167384 229516 285724 401653 459032 500017 571448 803306 1000034 1606612 2000068 3213224 3500119 4000136 7000238 14000476 24500833 28000952 49001666 98003332 196006664