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238846140 = 2232513102071
BaseRepresentation
bin11100011110010…
…00000010111100
3121122102122022100
432033020002330
5442121034030
635411145100
75630105301
oct1617100274
9548378270
10238846140
11112905705
1267ba5190
133a6388a0
1423a150a8
1515e7e360
hexe3c80bc

238846140 has 72 divisors (see below), whose sum is σ = 780238368. Its totient is φ = 58792320.

The previous prime is 238846129. The next prime is 238846147. The reversal of 238846140 is 41648832.

238846140 is a `hidden beast` number, since 2 + 38 + 8 + 4 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 238846095 and 238846104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238846147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48696 + ... + 53375.

It is an arithmetic number, because the mean of its divisors is an integer number (10836644).

Almost surely, 2238846140 is an apocalyptic number.

238846140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238846140 is an abundant number, since it is smaller than the sum of its proper divisors (541392228).

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

238846140 is a wasteful number, since it uses less digits than its factorization.

238846140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102099 (or 102094 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238846140 is about 15454.6478445806. The cubic root of 238846140 is about 620.4489810642.

The spelling of 238846140 in words is "two hundred thirty-eight million, eight hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 102071 204142 306213 408284 510355 612426 918639 1020710 1224852 1326923 1531065 1837278 2041420 2653846 3062130 3674556 3980769 4593195 5307692 6124260 6634615 7961538 9186390 11942307 13269230 15923076 18372780 19903845 23884614 26538460 39807690 47769228 59711535 79615380 119423070 238846140