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71135616 = 273172641
BaseRepresentation
bin1000011110101…
…11000110000000
311221212001201110
410033113012000
5121202314431
611020403320
71522433316
oct417270600
9157761643
1071135616
1137177272
121b9a6540
13119786a6
14963a0b6
1563a2346
hex43d7180

71135616 has 96 divisors (see below), whose sum is σ = 201035880. Its totient is φ = 22282240.

The previous prime is 71135609. The next prime is 71135641. The reversal of 71135616 is 61653117.

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 11 ways as a sum of consecutive naturals, for example, 110656 + ... + 111296.

Almost surely, 271135616 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 71135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100517940).

71135616 is an abundant number, since it is smaller than the sum of its proper divisors (129900264).

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

71135616 is a wasteful number, since it uses less digits than its factorization.

71135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 663 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 71135616 is about 8434.1932631402. The cubic root of 71135616 is about 414.3452509872.

The spelling of 71135616 in words is "seventy-one million, one hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 641 816 867 1088 1156 1282 1632 1734 1923 2176 2312 2564 3264 3468 3846 4624 5128 6528 6936 7692 9248 10256 10897 13872 15384 18496 20512 21794 27744 30768 32691 36992 41024 43588 55488 61536 65382 82048 87176 110976 123072 130764 174352 185249 246144 261528 348704 370498 523056 555747 697408 740996 1046112 1111494 1394816 1481992 2092224 2222988 2963984 4184448 4445976 5927968 8891952 11855936 17783904 23711872 35567808 71135616