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71023140 = 223251921093
BaseRepresentation
bin1000011101110…
…11101000100100
311221122100102200
410032323220210
5121140220030
611014134500
71521454356
oct416735044
9157570380
1071023140
11370aa811
121b951430
1311939436
14960b0d6
15637dd60
hex43bba24

71023140 has 108 divisors (see below), whose sum is σ = 227580444. Its totient is φ = 17926272.

The previous prime is 71023123. The next prime is 71023153. The reversal of 71023140 is 4132017.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 17791524 = 7296^2 + 4218^2 .

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 64434 + ... + 65526.

Almost surely, 271023140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113790222).

71023140 is an abundant number, since it is smaller than the sum of its proper divisors (156557304).

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

71023140 is a wasteful number, since it uses less digits than its factorization.

71023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71023140 is about 8427.5227676940. The cubic root of 71023140 is about 414.1267552780.

Adding to 71023140 its reverse (4132017), we get a palindrome (75155157).

The spelling of 71023140 in words is "seventy-one million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1093 1140 1444 1710 1805 2166 2186 3249 3279 3420 3610 4332 4372 5415 5465 6498 6558 7220 9837 10830 10930 12996 13116 16245 16395 19674 20767 21660 21860 32490 32790 39348 41534 49185 62301 64980 65580 83068 98370 103835 124602 186903 196740 207670 249204 311505 373806 394573 415340 623010 747612 789146 934515 1183719 1246020 1578292 1869030 1972865 2367438 3551157 3738060 3945730 4734876 5918595 7102314 7891460 11837190 14204628 17755785 23674380 35511570 71023140