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235620 = 2232571117
BaseRepresentation
bin111001100001100100
3102222012200
4321201210
530014440
65014500
72000640
oct714144
9388180
10235620
11151030
12b4430
1383328
1461c20
1549c30
hex39864

235620 has 144 divisors (see below), whose sum is σ = 943488. Its totient is φ = 46080.

The previous prime is 235607. The next prime is 235621. The reversal of 235620 is 26532.

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 junction number, because it is equal to n+sod(n) for n = 235593 and 235602.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 85 × 77 × 36.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13852 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2235620 is an apocalyptic number.

235620 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 235620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

235620 is an abundant number, since it is smaller than the sum of its proper divisors (707868).

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

235620 is a wasteful number, since it uses less digits than its factorization.

235620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 235620 is about 485.4070456843. The cubic root of 235620 is about 61.7642801091.

The spelling of 235620 in words is "two hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 17 18 20 21 22 28 30 33 34 35 36 42 44 45 51 55 60 63 66 68 70 77 84 85 90 99 102 105 110 119 126 132 140 153 154 165 170 180 187 198 204 210 220 231 238 252 255 306 308 315 330 340 357 374 385 396 420 462 476 495 510 561 595 612 630 660 693 714 748 765 770 924 935 990 1020 1071 1122 1155 1190 1260 1309 1386 1428 1530 1540 1683 1785 1870 1980 2142 2244 2310 2380 2618 2772 2805 3060 3366 3465 3570 3740 3927 4284 4620 5236 5355 5610 6545 6732 6930 7140 7854 8415 10710 11220 11781 13090 13860 15708 16830 19635 21420 23562 26180 33660 39270 47124 58905 78540 117810 235620