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238986240 = 2103515559
BaseRepresentation
bin11100011111010…
…10010000000000
3121122200202111020
432033222100000
5442140024430
635414145440
75631230613
oct1617522000
9548622436
10238986240
111129a0999
1268052280
133a68759c
1423a5017a
1515eaab10
hexe3ea400

238986240 has 88 divisors (see below), whose sum is σ = 764431680. Its totient is φ = 63725568.

The previous prime is 238986239. The next prime is 238986269. The reversal of 238986240 is 42689832.

It is a super-2 number, since 2×2389862402 = 114228845818675200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238986192 and 238986201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7581 + ... + 23139.

Almost surely, 2238986240 is an apocalyptic number.

238986240 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 238986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382215840).

238986240 is an abundant number, since it is smaller than the sum of its proper divisors (525445440).

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

238986240 is a wasteful number, since it uses less digits than its factorization.

238986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 238986240 is about 15459.1797971302. The cubic root of 238986240 is about 620.5702696225.

The spelling of 238986240 in words is "two hundred thirty-eight million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 15559 31118 46677 62236 77795 93354 124472 155590 186708 233385 248944 311180 373416 466770 497888 622360 746832 933540 995776 1244720 1493664 1867080 1991552 2489440 2987328 3734160 3983104 4978880 5974656 7468320 7966208 9957760 11949312 14936640 15932416 19915520 23898624 29873280 39831040 47797248 59746560 79662080 119493120 238986240