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271037130 = 235721321091
BaseRepresentation
bin10000001001111…
…011001011001010
3200220000010001020
4100021323023022
51023341142010
642521133310
76500530500
oct2011731312
9626003036
10271037130
11129aa2231
127692a236
13441c9c00
1427dd4670
1518bdc470
hex1027b2ca

271037130 has 144 divisors (see below), whose sum is σ = 820126944. Its totient is φ = 57133440.

The previous prime is 271037119. The next prime is 271037153. The reversal of 271037130 is 31730172.

It is a super-2 number, since 2×2710371302 = 146922251677273800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 271037130.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 247885 + ... + 248975.

It is an arithmetic number, because the mean of its divisors is an integer number (5695326).

Almost surely, 2271037130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271037130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410063472).

271037130 is an abundant number, since it is smaller than the sum of its proper divisors (549089814).

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

271037130 is a wasteful number, since it uses less digits than its factorization.

271037130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 271037130 is about 16463.2053379650. The cubic root of 271037130 is about 647.1569158839.

The spelling of 271037130 in words is "two hundred seventy-one million, thirty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 182 195 210 245 273 294 338 390 455 490 507 546 637 735 845 910 1014 1091 1183 1274 1365 1470 1690 1911 2182 2366 2535 2730 3185 3273 3549 3822 5070 5455 5915 6370 6546 7098 7637 8281 9555 10910 11830 14183 15274 16365 16562 17745 19110 22911 24843 28366 32730 35490 38185 41405 42549 45822 49686 53459 70915 76370 82810 85098 99281 106918 114555 124215 141830 160377 184379 198562 212745 229110 248430 267295 297843 320754 368758 425490 496405 534590 553137 595686 694967 801885 921895 992810 1106274 1290653 1389934 1489215 1603770 1843790 2084901 2581306 2765685 2978430 3474835 3871959 4169802 5531370 6453265 6949670 7743918 9034571 10424505 12906530 18069142 19359795 20849010 27103713 38719590 45172855 54207426 90345710 135518565 271037130