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203008 = 281361
BaseRepresentation
bin110001100100000000
3101022110211
4301210000
522444013
64203504
71503601
oct614400
9338424
10203008
11129583
1299594
1371530
1453da8
154023d
hex31900

203008 has 36 divisors (see below), whose sum is σ = 443548. Its totient is φ = 92160.

The previous prime is 202999. The next prime is 203011. The reversal of 203008 is 800302.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 186624 = 128^2 + 432^2 .

It is a hoax number, since the sum of its digits (13) 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 (13).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3298 + ... + 3358.

2203008 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 203008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221774).

203008 is an abundant number, since it is smaller than the sum of its proper divisors (240540).

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

203008 is an equidigital number, since it uses as much as digits as its factorization.

203008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 203008 is about 450.5640908905. The cubic root of 203008 is about 58.7720786188.

The spelling of 203008 in words is "two hundred three thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 793 832 976 1586 1664 1952 3172 3328 3904 6344 7808 12688 15616 25376 50752 101504 203008