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200096 = 2513237
BaseRepresentation
bin110000110110100000
3101011110222
4300312200
522400341
64142212
71462241
oct606640
9334428
10200096
11127376
1297968
1370100
1452cc8
153e44b
hex30da0

200096 has 36 divisors (see below), whose sum is σ = 438102. Its totient is φ = 89856.

The previous prime is 200087. The next prime is 200117. The reversal of 200096 is 690002.

200096 = T29 + T30 + ... + T106.

It can be written as a sum of positive squares in 3 ways, for example, as 144400 + 55696 = 380^2 + 236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5390 + ... + 5426.

2200096 is an apocalyptic number.

200096 is a gapful number since it is divisible by the number (26) 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 200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219051).

200096 is an abundant number, since it is smaller than the sum of its proper divisors (238006).

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

200096 is a wasteful number, since it uses less digits than its factorization.

200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 200096 is about 447.3209138862. The cubic root of 200096 is about 58.4897101243.

Adding to 200096 its reverse (690002), we get a palindrome (890098).

The spelling of 200096 in words is "two hundred thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 169 208 296 338 416 481 592 676 962 1184 1352 1924 2704 3848 5408 6253 7696 12506 15392 25012 50024 100048 200096