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210896 = 2472269
BaseRepresentation
bin110011011111010000
3101201021222
4303133100
523222041
64304212
71535600
oct633720
9351258
10210896
111344a4
12a2068
1374cba
1456c00
154274b
hex337d0

210896 has 30 divisors (see below), whose sum is σ = 477090. Its totient is φ = 90048.

The previous prime is 210869. The next prime is 210901. The reversal of 210896 is 698012.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 78400 = 364^2 + 280^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

210896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 650 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2210896 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 210896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238545).

210896 is an abundant number, since it is smaller than the sum of its proper divisors (266194).

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

210896 is a wasteful number, since it uses less digits than its factorization.

210896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 210896 is about 459.2341450720. The cubic root of 210896 is about 59.5236353620.

The spelling of 210896 in words is "two hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 269 392 538 784 1076 1883 2152 3766 4304 7532 13181 15064 26362 30128 52724 105448 210896