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71361080 = 2357435927
BaseRepresentation
bin1000100000011…
…10001000111000
311222021111222222
410100032020320
5121232023310
611025303212
71524362540
oct420161070
9158244888
1071361080
11373106aa
121ba94b08
1311a271bb
149698320
1563e9055
hex440e238

71361080 has 64 divisors (see below), whose sum is σ = 187799040. Its totient is φ = 23893632.

The previous prime is 71361079. The next prime is 71361089. The reversal of 71361080 is 8016317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71361089) 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, 9077 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 271361080 is an apocalyptic number.

71361080 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 71361080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93899520).

71361080 is an abundant number, since it is smaller than the sum of its proper divisors (116437960).

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

71361080 is a wasteful number, since it uses less digits than its factorization.

71361080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 71361080 is about 8447.5487568880. The cubic root of 71361080 is about 414.7825444197.

Adding to 71361080 its reverse (8016317), we get a palindrome (79377397).

The spelling of 71361080 in words is "seventy-one million, three hundred sixty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 5927 6020 11854 12040 23708 29635 41489 47416 59270 82978 118540 165956 207445 237080 254861 331912 414890 509722 829780 1019444 1274305 1659560 1784027 2038888 2548610 3568054 5097220 7136108 8920135 10194440 14272216 17840270 35680540 71361080