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194112 = 2632337
BaseRepresentation
bin101111011001000000
3100212021100
4233121000
522202422
64054400
71435632
oct573100
9325240
10194112
11122926
1294400
136a479
1450a52
153c7ac
hex2f640

194112 has 42 divisors (see below), whose sum is σ = 558038. Its totient is φ = 64512.

The previous prime is 194101. The next prime is 194113. The reversal of 194112 is 211491.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 46656 = 384^2 + 216^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (194113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408 + ... + 744.

2194112 is an apocalyptic number.

194112 is a gapful number since it is divisible by the number (12) 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 194112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279019).

194112 is an abundant number, since it is smaller than the sum of its proper divisors (363926).

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

194112 is a wasteful number, since it uses less digits than its factorization.

194112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 194112 is about 440.5814340165. The cubic root of 194112 is about 57.9007418449.

It can be divided in two parts, 1941 and 12, that added together give a triangular number (1953 = T62).

The spelling of 194112 in words is "one hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 337 576 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 21568 24264 32352 48528 64704 97056 194112