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71264020 = 22529122869
BaseRepresentation
bin1000011111101…
…10011100010100
311222002120212011
410033312130110
5121220422040
611023234004
71523506552
oct417663424
9158076764
1071264020
1137254793
121ba48904
13119c1c79
149670bd2
1563ca3ea
hex43f6714

71264020 has 24 divisors (see below), whose sum is σ = 154816200. Its totient is φ = 27522432.

The previous prime is 71263979. The next prime is 71264021. The reversal of 71264020 is 2046217.

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 51868804 = 4404^2 + 7202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71263982 and 71264000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71264021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60855 + ... + 62014.

It is an arithmetic number, because the mean of its divisors is an integer number (6450675).

Almost surely, 271264020 is an apocalyptic number.

It is an amenable number.

71264020 is an abundant number, since it is smaller than the sum of its proper divisors (83552180).

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

71264020 is a wasteful number, since it uses less digits than its factorization.

71264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122907 (or 122905 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 71264020 is about 8441.8019403443. The cubic root of 71264020 is about 414.5944070396.

The spelling of 71264020 in words is "seventy-one million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 122869 245738 491476 614345 1228690 2457380 3563201 7126402 14252804 17816005 35632010 71264020