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238026540 = 2235231371259
BaseRepresentation
bin11100010111111…
…11111100101100
3121120220000000210
432023333330230
5441413322130
635341422420
75620122633
oct1613777454
9546800023
10238026540
111123a5954
126786aa10
133a40c80b
142388051a
1515d6b5b0
hexe2fff2c

238026540 has 96 divisors (see below), whose sum is σ = 701084160. Its totient is φ = 60222976.

The previous prime is 238026539. The next prime is 238026541. The reversal of 238026540 is 45620832.

It is an interprime number because it is at equal distance from previous prime (238026539) and next prime (238026541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 238026498 and 238026507.

It is not an unprimeable number, because it can be changed into a prime (238026541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188431 + ... + 189689.

It is an arithmetic number, because the mean of its divisors is an integer number (7302960).

Almost surely, 2238026540 is an apocalyptic number.

238026540 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 238026540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350542080).

238026540 is an abundant number, since it is smaller than the sum of its proper divisors (463057620).

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

238026540 is a wasteful number, since it uses less digits than its factorization.

238026540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 238026540 is about 15428.1087629042. The cubic root of 238026540 is about 619.7384779791.

It can be divided in two parts, 2380 and 26540, that added together give a triangular number (28920 = T240).

The spelling of 238026540 in words is "two hundred thirty-eight million, twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 230 274 276 345 411 460 548 685 690 822 1259 1370 1380 1644 2055 2518 2740 3151 3777 4110 5036 6295 6302 7554 8220 9453 12590 12604 15108 15755 18885 18906 25180 28957 31510 37770 37812 47265 57914 63020 75540 86871 94530 115828 144785 172483 173742 189060 289570 344966 347484 434355 517449 579140 689932 862415 868710 1034898 1724830 1737420 2069796 2587245 3449660 3967109 5174490 7934218 10348980 11901327 15868436 19835545 23802654 39671090 47605308 59506635 79342180 119013270 238026540