Search a number
-
+
71451920 = 245893149
BaseRepresentation
bin1000100001001…
…00010100010000
311222110010121102
410100210110100
5121242430140
611031243532
71525221431
oct420442420
9158403542
1071451920
1137372981
121bb195a8
1311a59657
1496bd488
156415e15
hex4424510

71451920 has 20 divisors (see below), whose sum is σ = 166125900. Its totient is φ = 28580736.

The previous prime is 71451917. The next prime is 71451929. The reversal of 71451920 is 2915417.

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 60902416 = 3248^2 + 7804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (71451929) 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 3 ways as a sum of consecutive naturals, for example, 446495 + ... + 446654.

It is an arithmetic number, because the mean of its divisors is an integer number (8306295).

Almost surely, 271451920 is an apocalyptic number.

It is an amenable number.

71451920 is an abundant number, since it is smaller than the sum of its proper divisors (94673980).

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

71451920 is a wasteful number, since it uses less digits than its factorization.

71451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893162 (or 893156 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 71451920 is about 8452.9237545361. The cubic root of 71451920 is about 414.9584707076.

The spelling of 71451920 in words is "seventy-one million, four hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 893149 1786298 3572596 4465745 7145192 8931490 14290384 17862980 35725960 71451920