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235008 = 293317
BaseRepresentation
bin111001011000000000
3102221101000
4321120000
530010013
65012000
71666104
oct713000
9387330
10235008
11150624
12b4000
1382c77
1461904
1549973
hex39600

235008 has 80 divisors (see below), whose sum is σ = 736560. Its totient is φ = 73728.

The previous prime is 235007. The next prime is 235009. The reversal of 235008 is 800532.

235008 = T32 + T33 + ... + T112.

It is an interprime number because it is at equal distance from previous prime (235007) and next prime (235009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13816 + ... + 13832.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2235008 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 235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368280).

235008 is an abundant number, since it is smaller than the sum of its proper divisors (501552).

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

235008 is an equidigital number, since it uses as much as digits as its factorization.

235008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235008 is about 484.7762370414. The cubic root of 235008 is about 61.7107581758.

The spelling of 235008 in words is "two hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 26112 29376 39168 58752 78336 117504 235008