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235104 = 2533179
BaseRepresentation
bin111001011001100000
3102221111120
4321121200
530010404
65012240
71666302
oct713140
9387446
10235104
11150701
12b4080
138301c
1461972
15499d9
hex39660

235104 has 48 divisors (see below), whose sum is σ = 645120. Its totient is φ = 74880.

The previous prime is 235099. The next prime is 235111. The reversal of 235104 is 401532.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2937 + ... + 3015.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2235104 is an apocalyptic number.

235104 is a gapful number since it is divisible by the number (24) 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 235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

235104 is an abundant number, since it is smaller than the sum of its proper divisors (410016).

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

235104 is a wasteful number, since it uses less digits than its factorization.

235104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 235104 is about 484.8752416859. The cubic root of 235104 is about 61.7191599129.

Adding to 235104 its reverse (401532), we get a palindrome (636636).

The spelling of 235104 in words is "two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 79 93 96 124 158 186 237 248 316 372 474 496 632 744 948 992 1264 1488 1896 2449 2528 2976 3792 4898 7347 7584 9796 14694 19592 29388 39184 58776 78368 117552 235104