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71128332 = 223211533389
BaseRepresentation
bin1000011110101…
…01010100001100
311221211200201200
410033111110030
5121202101312
611020305500
71522403142
oct417252414
9157750650
1071128332
1137171850
121b9a2290
1311975292
149637592
1563a00dc
hex43d550c

71128332 has 72 divisors (see below), whose sum is σ = 199901520. Its totient is φ = 21141120.

The previous prime is 71128307. The next prime is 71128349. The reversal of 71128332 is 23382117.

It is a super-2 number, since 2×711283322 = 10118479226204448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71128296 and 71128305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19294 + ... + 22682.

It is an arithmetic number, because the mean of its divisors is an integer number (2776410).

Almost surely, 271128332 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 71128332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950760).

71128332 is an abundant number, since it is smaller than the sum of its proper divisors (128773188).

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

71128332 is a wasteful number, since it uses less digits than its factorization.

71128332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3458 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 71128332 is about 8433.7614384093. The cubic root of 71128332 is about 414.3311080773.

The spelling of 71128332 in words is "seventy-one million, one hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3389 3498 5247 6778 6996 10167 10494 13556 20334 20988 30501 37279 40668 61002 74558 111837 122004 149116 179617 223674 335511 359234 447348 538851 671022 718468 1077702 1342044 1616553 1975787 2155404 3233106 3951574 5927361 6466212 7903148 11854722 17782083 23709444 35564166 71128332