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194608960 = 26571341163
BaseRepresentation
bin10111001100101…
…11111101000000
3111120012011022021
423212113331000
5344304441320
631151051224
74552102030
oct1346277500
9446164267
10194608960
119a940657
1255210b14
133141a540
141bbbb8c0
1512141daa
hexb997f40

194608960 has 224 divisors, whose sum is σ = 587849472. Its totient is φ = 59719680.

The previous prime is 194608949. The next prime is 194608969. The reversal of 194608960 is 69806491.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194608969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193839 + ... + 1194001.

It is an arithmetic number, because the mean of its divisors is an integer number (2624328).

Almost surely, 2194608960 is an apocalyptic number.

194608960 is a gapful number since it is divisible by the number (10) 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 194608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293924736).

194608960 is an abundant number, since it is smaller than the sum of its proper divisors (393240512).

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

194608960 is a wasteful number, since it uses less digits than its factorization.

194608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 194608960 is about 13950.2315392971. The cubic root of 194608960 is about 579.5011167907.

The spelling of 194608960 in words is "one hundred ninety-four million, six hundred eight thousand, nine hundred sixty".