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71117130 = 23572101479
BaseRepresentation
bin1000011110100…
…10100101001010
311221211010100210
410033102211022
5121201222010
611020141550
71522325400
oct417224512
9157733323
1071117130
1137164397
121b9978b6
1311970156
149633470
15639bb20
hex43d294a

71117130 has 96 divisors (see below), whose sum is σ = 200931840. Its totient is φ = 16060800.

The previous prime is 71117129. The next prime is 71117177. The reversal of 71117130 is 3171117.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 71117097 and 71117106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148231 + ... + 148709.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 271117130 is an apocalyptic number.

71117130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71117130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

71117130 is an abundant number, since it is smaller than the sum of its proper divisors (129814710).

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

71117130 is a wasteful number, since it uses less digits than its factorization.

71117130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 21.

The square root of 71117130 is about 8433.0972957745. The cubic root of 71117130 is about 414.3093559353.

Adding to 71117130 its reverse (3171117), we get a palindrome (74288247).

It can be divided in two parts, 7111 and 7130, that added together give a palindrome (14241).

The spelling of 71117130 in words is "seventy-one million, one hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 101 105 147 202 210 245 294 303 479 490 505 606 707 735 958 1010 1414 1437 1470 1515 2121 2395 2874 3030 3353 3535 4242 4790 4949 6706 7070 7185 9898 10059 10605 14370 14847 16765 20118 21210 23471 24745 29694 33530 46942 48379 49490 50295 70413 74235 96758 100590 117355 140826 145137 148470 234710 241895 290274 338653 352065 483790 677306 704130 725685 1015959 1451370 1693265 2031918 2370571 3386530 4741142 5079795 7111713 10159590 11852855 14223426 23705710 35558565 71117130