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71144568 = 2336111109
BaseRepresentation
bin1000011110110…
…01010001111000
311221212112000000
410033121101320
5121203111233
611020513000
71522501365
oct417312170
9157775000
1071144568
1137182a70
121b9ab760
131197c7a1
14963d46c
1563a4d13
hex43d9478

71144568 has 112 divisors (see below), whose sum is σ = 218381400. Its totient is φ = 21539520.

The previous prime is 71144561. The next prime is 71144573. The reversal of 71144568 is 86544117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71144561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63598 + ... + 64706.

Almost surely, 271144568 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 71144568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109190700).

71144568 is an abundant number, since it is smaller than the sum of its proper divisors (147236832).

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

71144568 is a wasteful number, since it uses less digits than its factorization.

71144568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71144568 is about 8434.7239433191. The cubic root of 71144568 is about 414.3626312313.

The spelling of 71144568 in words is "seventy-one million, one hundred forty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1109 1188 1458 1782 1944 2218 2376 2673 2916 3327 3564 4436 5346 5832 6654 7128 8019 8872 9981 10692 12199 13308 16038 19962 21384 24398 26616 29943 32076 36597 39924 48796 59886 64152 73194 79848 89829 97592 109791 119772 146388 179658 219582 239544 269487 292776 329373 359316 439164 538974 658746 718632 808461 878328 988119 1077948 1317492 1616922 1976238 2155896 2634984 2964357 3233844 3952476 5928714 6467688 7904952 8893071 11857428 17786142 23714856 35572284 71144568