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71305260 = 223513113809
BaseRepresentation
bin1000100000000…
…00100000101100
311222011200102120
410100000200230
5121223232020
611024152540
71524041025
oct420004054
9158150376
1071305260
1137282774
121ba68750
1311a07980
149681c4c
1563d7740
hex440082c

71305260 has 96 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 17375232.

The previous prime is 71305243. The next prime is 71305261. The reversal of 71305260 is 6250317.

It is a self number, because there is not a number n which added to its sum of digits gives 71305260.

It is not an unprimeable number, because it can be changed into a prime (71305261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87736 + ... + 88544.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 271305260 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 71305260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

71305260 is an abundant number, since it is smaller than the sum of its proper divisors (145878420).

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

71305260 is a wasteful number, since it uses less digits than its factorization.

71305260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 71305260 is about 8444.2441935321. The cubic root of 71305260 is about 414.6743659317.

Adding to 71305260 its reverse (6250317), we get a palindrome (77555577).

The spelling of 71305260 in words is "seventy-one million, three hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 565 678 780 809 1130 1356 1469 1618 1695 2260 2427 2938 3236 3390 4045 4407 4854 5876 6780 7345 8090 8814 9708 10517 12135 14690 16180 17628 21034 22035 24270 29380 31551 42068 44070 48540 52585 63102 88140 91417 105170 126204 157755 182834 210340 274251 315510 365668 457085 548502 631020 914170 1097004 1188421 1371255 1828340 2376842 2742510 3565263 4753684 5485020 5942105 7130526 11884210 14261052 17826315 23768420 35652630 71305260