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194768 = 2473747
BaseRepresentation
bin101111100011010000
3100220011122
4233203100
522213033
64101412
71440560
oct574320
9326148
10194768
11123372
1294868
136a862
1450da0
153ca98
hex2f8d0

194768 has 40 divisors (see below), whose sum is σ = 452352. Its totient is φ = 79488.

The previous prime is 194767. The next prime is 194771. The reversal of 194768 is 867491.

194768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 194768.

It is not an unprimeable number, because it can be changed into a prime (194767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4121 + ... + 4167.

2194768 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 194768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176).

194768 is an abundant number, since it is smaller than the sum of its proper divisors (257584).

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

194768 is a wasteful number, since it uses less digits than its factorization.

194768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 194768 is about 441.3252768650. The cubic root of 194768 is about 57.9658935428.

The spelling of 194768 in words is "one hundred ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 47 56 74 94 112 148 188 259 296 329 376 518 592 658 752 1036 1316 1739 2072 2632 3478 4144 5264 6956 12173 13912 24346 27824 48692 97384 194768