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71138250 = 235531171
BaseRepresentation
bin1000011110101…
…11101111001010
311221212012100000
410033113233022
5121202411000
611020423430
71522444101
oct417275712
9157765300
1071138250
1137179247
121b9a7b76
1311979951
14963b038
1563a3000
hex43d7bca

71138250 has 96 divisors (see below), whose sum is σ = 199652544. Its totient is φ = 18954000.

The previous prime is 71138227. The next prime is 71138257. The reversal of 71138250 is 5283117.

It is a super-2 number, since 2×711382502 = 10121301226125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71138257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60165 + ... + 61335.

It is an arithmetic number, because the mean of its divisors is an integer number (2079714).

Almost surely, 271138250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71138250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99826272).

71138250 is an abundant number, since it is smaller than the sum of its proper divisors (128514294).

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

71138250 is a wasteful number, since it uses less digits than its factorization.

71138250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71138250 is about 8434.3494117804. The cubic root of 71138250 is about 414.3503650308.

The spelling of 71138250 in words is "seventy-one million, one hundred thirty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 750 810 1125 1171 1215 1350 2025 2250 2342 2430 3375 3513 4050 5855 6075 6750 7026 10125 10539 11710 12150 17565 20250 21078 29275 30375 31617 35130 52695 58550 60750 63234 87825 94851 105390 146375 158085 175650 189702 263475 284553 292750 316170 439125 474255 526950 569106 790425 878250 948510 1317375 1422765 1580850 2371275 2634750 2845530 3952125 4742550 7113825 7904250 11856375 14227650 23712750 35569125 71138250