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71015040 = 2732512329
BaseRepresentation
bin1000011101110…
…01101010000000
311221121221022200
410032321222000
5121134440130
611014033200
71521421635
oct416715200
9157557280
1071015040
11370a4718
121b948800
1311935845
14960818c
15637b760
hex43b9a80

71015040 has 96 divisors (see below), whose sum is σ = 245243700. Its totient is φ = 18935808.

The previous prime is 71015029. The next prime is 71015047. The reversal of 71015040 is 4051017.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 13133376 = 7608^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (71015047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 11924.

Almost surely, 271015040 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 71015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122621850).

71015040 is an abundant number, since it is smaller than the sum of its proper divisors (174228660).

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

71015040 is a wasteful number, since it uses less digits than its factorization.

71015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 71015040 is about 8427.0421857257. The cubic root of 71015040 is about 414.1110113282. Note that the first 3 decimals are identical.

Adding to 71015040 its reverse (4051017), we get a palindrome (75066057).

The spelling of 71015040 in words is "seventy-one million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 12329 24658 36987 49316 61645 73974 98632 110961 123290 147948 184935 197264 221922 246580 295896 369870 394528 443844 493160 554805 591792 739740 789056 887688 986320 1109610 1183584 1479480 1578112 1775376 1972640 2219220 2367168 2958960 3550752 3945280 4438440 4734336 5917920 7101504 7890560 8876880 11835840 14203008 17753760 23671680 35507520 71015040