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71307460 = 22574710837
BaseRepresentation
bin1000100000000…
…01000011000100
311222011210110001
410100001003010
5121223314320
611024211044
71524050320
oct420010304
9158153401
1071307460
1137284394
121ba69a84
1311a08983
149682980
1563d820a
hex44010c4

71307460 has 48 divisors (see below), whose sum is σ = 174795264. Its totient is φ = 23925888.

The previous prime is 71307451. The next prime is 71307461. The reversal of 71307460 is 6470317.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (71307461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162 + ... + 11998.

It is an arithmetic number, because the mean of its divisors is an integer number (3641568).

Almost surely, 271307460 is an apocalyptic number.

71307460 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 71307460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87397632).

71307460 is an abundant number, since it is smaller than the sum of its proper divisors (103487804).

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

71307460 is a wasteful number, since it uses less digits than its factorization.

71307460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10898 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 71307460 is about 8444.3744587743. The cubic root of 71307460 is about 414.6786305738.

Adding to 71307460 its reverse (6470317), we get a palindrome (77777777).

The spelling of 71307460 in words is "seventy-one million, three hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 10837 21674 43348 54185 75859 108370 151718 216740 303436 379295 509339 758590 1018678 1517180 2037356 2546695 3565373 5093390 7130746 10186780 14261492 17826865 35653730 71307460