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71156064 = 2537195573
BaseRepresentation
bin1000011110111…
…00000101100000
311221220002202210
410033130011200
5121203443224
611021042120
71522550040
oct417340540
9157802683
1071156064
1137190671
121b9b6340
1311984aa5
149643720
1563a8429
hex43dc160

71156064 has 96 divisors (see below), whose sum is σ = 224743680. Its totient is φ = 19256832.

The previous prime is 71156021. The next prime is 71156087. The reversal of 71156064 is 46065117.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 9982 + ... + 15554.

It is an arithmetic number, because the mean of its divisors is an integer number (2341080).

Almost surely, 271156064 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 71156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112371840).

71156064 is an abundant number, since it is smaller than the sum of its proper divisors (153587616).

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

71156064 is a wasteful number, since it uses less digits than its factorization.

71156064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 71156064 is about 8435.4053844495. The cubic root of 71156064 is about 414.3849484950.

The spelling of 71156064 in words is "seventy-one million, one hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 5573 6384 11146 12768 16719 22292 33438 39011 44584 66876 78022 89168 105887 117033 133752 156044 178336 211774 234066 267504 312088 317661 423548 468132 535008 624176 635322 741209 847096 936264 1248352 1270644 1482418 1694192 1872528 2223627 2541288 2964836 3388384 3745056 4447254 5082576 5929672 8894508 10165152 11859344 17789016 23718688 35578032 71156064