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271023030 = 233519232297
BaseRepresentation
bin10000001001110…
…111101110110110
3200212222101201000
4100021313232312
51023340214110
642520544130
76500441415
oct2011675666
9625871630
10271023030
11129a92683
1276922046
13441c3675
1427dcd47c
1518bd81c0
hex10277bb6

271023030 has 128 divisors (see below), whose sum is σ = 794188800. Its totient is φ = 65463552.

The previous prime is 271023029. The next prime is 271023031. The reversal of 271023030 is 30320172.

It is an interprime number because it is at equal distance from previous prime (271023029) and next prime (271023031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 271022994 and 271023012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271023031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116842 + ... + 119138.

It is an arithmetic number, because the mean of its divisors is an integer number (6204600).

Almost surely, 2271023030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397094400).

271023030 is an abundant number, since it is smaller than the sum of its proper divisors (523165770).

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

271023030 is a wasteful number, since it uses less digits than its factorization.

271023030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 271023030 is about 16462.7771047293. Note that the first 3 decimals coincide. The cubic root of 271023030 is about 647.1456934722.

The spelling of 271023030 in words is "two hundred seventy-one million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 27 30 38 45 46 54 57 69 90 95 114 115 135 138 171 190 207 230 270 285 342 345 414 437 513 570 621 690 855 874 1026 1035 1242 1311 1710 2070 2185 2297 2565 2622 3105 3933 4370 4594 5130 6210 6555 6891 7866 11485 11799 13110 13782 19665 20673 22970 23598 34455 39330 41346 43643 52831 58995 62019 68910 87286 103365 105662 117990 124038 130929 158493 206730 218215 261858 264155 310095 316986 392787 436430 475479 528310 620190 654645 785574 792465 950958 1003789 1178361 1309290 1426437 1584930 1963935 2007578 2356722 2377395 2852874 3011367 3927870 4754790 5018945 5891805 6022734 7132185 9034101 10037890 11783610 14264370 15056835 18068202 27102303 30113670 45170505 54204606 90341010 135511515 271023030