Search a number
-
+
71419401 = 363132
BaseRepresentation
bin1000100000111…
…00011000001001
311222101111000000
410100130120021
5121240410101
611030433213
71525024554
oct420343011
9158344000
1071419401
11373504a9
121bb02809
1311a47901
1496b169b
15640b486
hex441c609

71419401 has 21 divisors (see below), whose sum is σ = 107423319. Its totient is φ = 47460816.

The previous prime is 71419391. The next prime is 71419409. The reversal of 71419401 is 10491417.

The square root of 71419401 is 8451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 70963776 = 675^2 + 8424^2 .

It is not a de Polignac number, because 71419401 - 213 = 71411209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (71419409) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 228021 + ... + 228333.

Almost surely, 271419401 is an apocalyptic number.

71419401 is the 8451-st square number.

71419401 is the 4226-th centered octagonal number.

It is an amenable number.

71419401 is a deficient number, since it is larger than the sum of its proper divisors (36003918).

71419401 is an frugal number, since it uses more digits than its factorization.

71419401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The cubic root of 71419401 is about 414.8955095716.

The spelling of 71419401 in words is "seventy-one million, four hundred nineteen thousand, four hundred one".

Divisors: 1 3 9 27 81 243 313 729 939 2817 8451 25353 76059 97969 228177 293907 881721 2645163 7935489 23806467 71419401