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235840 = 2651167
BaseRepresentation
bin111001100101000000
3102222111211
4321211000
530021330
65015504
72001403
oct714500
9388454
10235840
11151210
12b4594
1383467
1461d3a
1549d2a
hex39940

235840 has 56 divisors (see below), whose sum is σ = 621792. Its totient is φ = 84480.

The previous prime is 235813. The next prime is 235849. The reversal of 235840 is 48532.

235840 = 682 + 692 + ... + 1002.

It is a hoax number, since the sum of its digits (22) 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3487 + ... + 3553.

2235840 is an apocalyptic number.

235840 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 235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310896).

235840 is an abundant number, since it is smaller than the sum of its proper divisors (385952).

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

235840 is a wasteful number, since it uses less digits than its factorization.

235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 235840 is about 485.6336067448. The cubic root of 235840 is about 61.7834973724.

The spelling of 235840 in words is "two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 134 160 176 220 268 320 335 352 440 536 670 704 737 880 1072 1340 1474 1760 2144 2680 2948 3520 3685 4288 5360 5896 7370 10720 11792 14740 21440 23584 29480 47168 58960 117920 235840