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71416520 = 2357283439
BaseRepresentation
bin1000100000110…
…11101011001000
311222101100001022
410100123223020
5121240312040
611030412012
71525013300
oct420335310
9158340038
1071416520
113734931a
121bb01008
1311a464c6
1496b0600
15640a6b5
hex441bac8

71416520 has 96 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 24135552.

The previous prime is 71416517. The next prime is 71416561. The reversal of 71416520 is 2561417.

It is a self number, because there is not a number n which added to its sum of digits gives 71416520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162461 + ... + 162899.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 271416520 is an apocalyptic number.

71416520 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 71416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

71416520 is an abundant number, since it is smaller than the sum of its proper divisors (118188280).

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

71416520 is a wasteful number, since it uses less digits than its factorization.

71416520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 71416520 is about 8450.8295450802. The cubic root of 71416520 is about 414.8899306485.

Adding to 71416520 its reverse (2561417), we get a palindrome (73977937).

The spelling of 71416520 in words is "seventy-one million, four hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 83 98 140 166 196 245 280 332 392 415 439 490 581 664 830 878 980 1162 1660 1756 1960 2195 2324 2905 3073 3320 3512 4067 4390 4648 5810 6146 8134 8780 11620 12292 15365 16268 17560 20335 21511 23240 24584 30730 32536 36437 40670 43022 61460 72874 81340 86044 107555 122920 145748 162680 172088 182185 215110 255059 291496 364370 430220 510118 728740 860440 1020236 1275295 1457480 1785413 2040472 2550590 3570826 5101180 7141652 8927065 10202360 14283304 17854130 35708260 71416520