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71059104 = 2532251983
BaseRepresentation
bin1000011110001…
…00011010100000
311221201011202200
410033010122200
5121142342404
611015013200
71521664254
oct417043240
9157634680
1071059104
1137124836
121b96a200
131194c90c
14961a264
156389839
hex43c46a0

71059104 has 72 divisors (see below), whose sum is σ = 203085792. Its totient is φ = 23568000.

The previous prime is 71059081. The next prime is 71059123. The reversal of 71059104 is 40195017.

71059104 is a `hidden beast` number, since 71 + 0 + 591 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×710591042 = 10098792522565632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71797 + ... + 72779.

It is an arithmetic number, because the mean of its divisors is an integer number (2820636).

Almost surely, 271059104 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 71059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101542896).

71059104 is an abundant number, since it is smaller than the sum of its proper divisors (132026688).

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

71059104 is a wasteful number, since it uses less digits than its factorization.

71059104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71059104 is about 8429.6562207483. The cubic root of 71059104 is about 414.1966439623.

The spelling of 71059104 in words is "seventy-one million, fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 983 1004 1506 1966 2008 2259 2949 3012 3932 4016 4518 5898 6024 7864 8032 8847 9036 11796 12048 15728 17694 18072 23592 24096 31456 35388 36144 47184 70776 72288 94368 141552 246733 283104 493466 740199 986932 1480398 1973864 2220597 2960796 3947728 4441194 5921592 7895456 8882388 11843184 17764776 23686368 35529552 71059104