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71378541 = 321329109193
BaseRepresentation
bin1000100000100…
…10011001101101
311222022101221200
410100102121231
5121233103131
611025520113
71524464463
oct420223155
9158271850
1071378541
1137322833
121baa3039
1311a32130
1496a0833
1563ee2e6
hex441266d

71378541 has 48 divisors (see below), whose sum is σ = 116516400. Its totient is φ = 41803776.

The previous prime is 71378537. The next prime is 71378551. The reversal of 71378541 is 14587317.

It can be written as a sum of positive squares in 8 ways, for example, as 3316041 + 68062500 = 1821^2 + 8250^2 .

It is not a de Polignac number, because 71378541 - 22 = 71378537 is a prime.

It is a super-2 number, since 2×713785412 = 10189792230577362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71378496 and 71378505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71378521) 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 47 ways as a sum of consecutive naturals, for example, 369741 + ... + 369933.

It is an arithmetic number, because the mean of its divisors is an integer number (2427425).

Almost surely, 271378541 is an apocalyptic number.

It is an amenable number.

71378541 is a deficient number, since it is larger than the sum of its proper divisors (45137859).

71378541 is a wasteful number, since it uses less digits than its factorization.

71378541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 71378541 is about 8448.5821887462. The cubic root of 71378541 is about 414.8163720438.

The spelling of 71378541 in words is "seventy-one million, three hundred seventy-eight thousand, five hundred forty-one".

Divisors: 1 3 9 13 29 39 87 109 117 193 261 327 377 579 981 1131 1417 1737 2509 3161 3393 4251 5597 7527 9483 12753 16791 21037 22581 28449 41093 50373 63111 72761 123279 189333 218283 273481 369837 610073 654849 820443 1830219 2461329 5490657 7930949 23792847 71378541