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71099028 = 2232711131973
BaseRepresentation
bin1000011110011…
…10001010010100
311221210012112100
410033032022110
5121200132103
611015522100
71522221540
oct417161224
9157705470
1071099028
1137151830
121b989330
1311964b40
14962aa20
1563965a3
hex43ce294

71099028 has 144 divisors (see below), whose sum is σ = 241428096. Its totient is φ = 17038080.

The previous prime is 71099011. The next prime is 71099047. The reversal of 71099028 is 82099017.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 71098983 and 71099001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35050 + ... + 37022.

It is an arithmetic number, because the mean of its divisors is an integer number (1676584).

Almost surely, 271099028 is an apocalyptic number.

71099028 is a gapful number since it is divisible by the number (78) 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 71099028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120714048).

71099028 is an abundant number, since it is smaller than the sum of its proper divisors (170329068).

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

71099028 is a wasteful number, since it uses less digits than its factorization.

71099028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 71099028 is about 8432.0239563227. The cubic root of 71099028 is about 414.2742004840.

The spelling of 71099028 in words is "seventy-one million, ninety-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 1973 2002 2574 2772 3003 3276 3946 4004 5148 5919 6006 7892 9009 11838 12012 13811 17757 18018 21703 23676 25649 27622 35514 36036 41433 43406 51298 55244 65109 71028 76947 82866 86812 102596 124299 130218 151921 153894 165732 179543 195327 230841 248598 260436 282139 303842 307788 359086 390654 455763 461682 497196 538629 564278 607684 718172 781308 846417 911526 923364 1077258 1128556 1367289 1615887 1692834 1823052 1974973 2154516 2539251 2734578 3231774 3385668 3949946 5078502 5469156 5924919 6463548 7899892 10157004 11849838 17774757 23699676 35549514 71099028