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196944 = 24311373
BaseRepresentation
bin110000000101010000
3101000011020
4300011100
522300234
64115440
71450116
oct600520
9330136
10196944
11124a70
1295b80
136b847
1451ab6
153d549
hex30150

196944 has 40 divisors (see below), whose sum is σ = 556512. Its totient is φ = 59520.

The previous prime is 196927. The next prime is 196961. The reversal of 196944 is 449691.

It is an interprime number because it is at equal distance from previous prime (196927) and next prime (196961).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 196944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 714.

2196944 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 196944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278256).

196944 is an abundant number, since it is smaller than the sum of its proper divisors (359568).

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

196944 is a wasteful number, since it uses less digits than its factorization.

196944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 196944 is about 443.7837311124. The cubic root of 196944 is about 58.1809647129.

The spelling of 196944 in words is "one hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 373 528 746 1119 1492 2238 2984 4103 4476 5968 8206 8952 12309 16412 17904 24618 32824 49236 65648 98472 196944