Search a number
-
+
71411340 = 2235711132941
BaseRepresentation
bin1000100000110…
…10011010001100
311222101001221110
410100122122030
5121240130330
611030332020
71524662220
oct420323214
9158331843
1071411340
1137345440
121baba010
1311a44040
1496ac780
156408db0
hex441a68c

71411340 has 384 divisors, whose sum is σ = 284497920. Its totient is φ = 12902400.

The previous prime is 71411323. The next prime is 71411341. The reversal of 71411340 is 4311417.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 533 × 435 × 308.

It is not an unprimeable number, because it can be changed into a prime (71411341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1741720 + ... + 1741760.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 271411340 is an apocalyptic number.

71411340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

71411340 is an abundant number, since it is smaller than the sum of its proper divisors (213086580).

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

71411340 is a wasteful number, since it uses less digits than its factorization.

71411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71411340 is about 8450.5230607342. The cubic root of 71411340 is about 414.8798994410.

Adding to 71411340 its reverse (4311417), we get a palindrome (75722757).

The spelling of 71411340 in words is "seventy-one million, four hundred eleven thousand, three hundred forty".