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235520 = 211523
BaseRepresentation
bin111001100000000000
3102222001222
4321200000
530014040
65014212
72000435
oct714000
9388058
10235520
11150a4a
12b4368
138327c
1461b8c
1549bb5
hex39800

235520 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 90112.

The previous prime is 235519. The next prime is 235523. The reversal of 235520 is 25532.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235523) by changing a digit.

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, 10229 + ... + 10251.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

235520 is a Friedman number, since it can be written as 230*2^(5+5), using all its digits and the basic arithmetic operations.

2235520 is an apocalyptic number.

235520 is a gapful number since it is divisible by the number (20) 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 235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

235520 is an abundant number, since it is smaller than the sum of its proper divisors (354160).

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

235520 is an equidigital number, since it uses as much as digits as its factorization.

235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 235520 is about 485.3040284193. The cubic root of 235520 is about 61.7555410349.

The spelling of 235520 in words is "two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1024 1280 1472 1840 2048 2560 2944 3680 5120 5888 7360 10240 11776 14720 23552 29440 47104 58880 117760 235520