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71164332 = 22341571399
BaseRepresentation
bin1000011110111…
…10000110101100
311221220112010000
410033132012230
5121204224312
611021144300
71522613121
oct417360654
9157815100
1071164332
11371968a8
121b9bb090
1311988795
149646748
1563aaadc
hex43de1ac

71164332 has 60 divisors (see below), whose sum is σ = 187356400. Its totient is φ = 23553504.

The previous prime is 71164321. The next prime is 71164339. The reversal of 71164332 is 23346117.

71164332 is a `hidden beast` number, since 7 + 11 + 643 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71164296 and 71164305.

It is not an unprimeable number, because it can be changed into a prime (71164339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50169 + ... + 51567.

Almost surely, 271164332 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 71164332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93678200).

71164332 is an abundant number, since it is smaller than the sum of its proper divisors (116192068).

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

71164332 is a wasteful number, since it uses less digits than its factorization.

71164332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1561 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 71164332 is about 8435.8954474318. The cubic root of 71164332 is about 414.4009977342.

The spelling of 71164332 in words is "seventy-one million, one hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1399 1413 1884 2798 2826 4197 4239 5596 5652 8394 8478 12591 12717 16788 16956 25182 25434 37773 50364 50868 75546 113319 151092 219643 226638 439286 453276 658929 878572 1317858 1976787 2635716 3953574 5930361 7907148 11860722 17791083 23721444 35582166 71164332