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71454740 = 22572174289
BaseRepresentation
bin1000100001001…
…01000000010100
311222110021110212
410100211000110
5121243022430
611031304552
71525232600
oct420450024
9158407425
1071454740
1137375005
121bb1b158
1311a5aa16
1496c0500
156416b95
hex4425014

71454740 has 72 divisors (see below), whose sum is σ = 184864680. Its totient is φ = 23052288.

The previous prime is 71454737. The next prime is 71454749. The reversal of 71454740 is 4745417.

It can be written as a sum of positive squares in 4 ways, for example, as 32467204 + 38987536 = 5698^2 + 6244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71454697 and 71454706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71454749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14516 + ... + 18804.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 271454740 is an apocalyptic number.

71454740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71454740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92432340).

71454740 is an abundant number, since it is smaller than the sum of its proper divisors (113409940).

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

71454740 is a wasteful number, since it uses less digits than its factorization.

71454740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 71454740 is about 8453.0905590796. The cubic root of 71454740 is about 414.9639297048.

The spelling of 71454740 in words is "seventy-one million, four hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 4289 8330 8578 16660 17156 21445 30023 42890 60046 72913 85780 120092 145826 150115 210161 291652 300230 364565 420322 510391 600460 729130 840644 1020782 1050805 1458260 2041564 2101610 2551955 3572737 4203220 5103910 7145474 10207820 14290948 17863685 35727370 71454740