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71133036 = 2231319103233
BaseRepresentation
bin1000011110101…
…10011101101100
311221211221011220
410033112131230
5121202224121
611020343340
71522422642
oct417263554
9157757156
1071133036
1137175337
121b9a4b50
1311977470
149639192
1563a16c6
hex43d676c

71133036 has 96 divisors (see below), whose sum is σ = 190794240. Its totient is φ = 20445696.

The previous prime is 71133031. The next prime is 71133053. The reversal of 71133036 is 63033117.

It is a junction number, because it is equal to n+sod(n) for n = 71132997 and 71133015.

It is not an unprimeable number, because it can be changed into a prime (71133031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305176 + ... + 305408.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 271133036 is an apocalyptic number.

71133036 is a gapful number since it is divisible by the number (76) 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 71133036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

71133036 is an abundant number, since it is smaller than the sum of its proper divisors (119661204).

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

71133036 is a wasteful number, since it uses less digits than its factorization.

71133036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 71133036 is about 8434.0403129224. The cubic root of 71133036 is about 414.3402416650.

The spelling of 71133036 in words is "seventy-one million, one hundred thirty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 103 114 156 206 228 233 247 309 412 466 494 618 699 741 932 988 1236 1339 1398 1482 1957 2678 2796 2964 3029 3914 4017 4427 5356 5871 6058 7828 8034 8854 9087 11742 12116 13281 16068 17708 18174 23484 23999 25441 26562 36348 47998 50882 53124 57551 71997 76323 95996 101764 115102 143994 152646 172653 230204 287988 305292 311987 345306 455981 623974 690612 911962 935961 1247948 1367943 1823924 1871922 2735886 3743844 5471772 5927753 11855506 17783259 23711012 35566518 71133036