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71415980 = 22517297243
BaseRepresentation
bin1000100000110…
…11100010101100
311222101022022022
410100123202230
5121240302410
611030405312
71525011566
oct420334254
9158338268
1071415980
1137348979
121bb00838
1311a4619c
1496b0336
15640a455
hex441b8ac

71415980 has 48 divisors (see below), whose sum is σ = 164293920. Its totient is φ = 25955328.

The previous prime is 71415923. The next prime is 71416001. The reversal of 71415980 is 8951417.

It is a self number, because there is not a number n which added to its sum of digits gives 71415980.

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 15 ways as a sum of consecutive naturals, for example, 6239 + ... + 13481.

It is an arithmetic number, because the mean of its divisors is an integer number (3422790).

Almost surely, 271415980 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 71415980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82146960).

71415980 is an abundant number, since it is smaller than the sum of its proper divisors (92877940).

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

71415980 is a wasteful number, since it uses less digits than its factorization.

71415980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 71415980 is about 8450.7975954936. The cubic root of 71415980 is about 414.8888849468. Note that the first 5 decimals are identical.

The spelling of 71415980 in words is "seventy-one million, four hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 7243 9860 14486 28972 36215 72430 123131 144860 210047 246262 420094 492524 615655 840188 1050235 1231310 2100470 2462620 3570799 4200940 7141598 14283196 17853995 35707990 71415980