[go: up one dir, main page]

Search a number
-
+
238680 = 233351317
BaseRepresentation
bin111010010001011000
3110010102000
4322101120
530114210
65041000
72012601
oct722130
9403360
10238680
11153362
12b6160
1384840
1462da8
154aac0
hex3a458

238680 has 128 divisors (see below), whose sum is σ = 907200. Its totient is φ = 55296.

The previous prime is 238673. The next prime is 238681. The reversal of 238680 is 86832.

238680 = T159 + T160 + ... + T175.

238680 = 102 + 112 + ... + 892.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14032 + ... + 14048.

2238680 is an apocalyptic number.

238680 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 238680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

238680 is an abundant number, since it is smaller than the sum of its proper divisors (668520).

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

238680 is a wasteful number, since it uses less digits than its factorization.

238680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 238680 is about 488.5488716597. The cubic root of 238680 is about 62.0305087449.

The spelling of 238680 in words is "two hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 26 27 30 34 36 39 40 45 51 52 54 60 65 68 72 78 85 90 102 104 108 117 120 130 135 136 153 156 170 180 195 204 216 221 234 255 260 270 306 312 340 351 360 390 408 442 459 468 510 520 540 585 612 663 680 702 765 780 884 918 936 1020 1080 1105 1170 1224 1326 1404 1530 1560 1755 1768 1836 1989 2040 2210 2295 2340 2652 2808 3060 3315 3510 3672 3978 4420 4590 4680 5304 5967 6120 6630 7020 7956 8840 9180 9945 11934 13260 14040 15912 18360 19890 23868 26520 29835 39780 47736 59670 79560 119340 238680