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71120384 = 29178171
BaseRepresentation
bin1000011110100…
…11011000000000
311221211021211022
410033103120000
5121201323014
611020205012
71522341026
oct417233000
9157737738
1071120384
1137166885
121b999768
131197178a
149634716
15639ca8e
hex43d3600

71120384 has 40 divisors (see below), whose sum is σ = 150479208. Its totient is φ = 33464320.

The previous prime is 71120377. The next prime is 71120389. The reversal of 71120384 is 48302117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71120389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4619 + ... + 12789.

Almost surely, 271120384 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 71120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75239604).

71120384 is an abundant number, since it is smaller than the sum of its proper divisors (79358824).

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

71120384 is an equidigital number, since it uses as much as digits as its factorization.

71120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 71120384 is about 8433.2902238687. The cubic root of 71120384 is about 414.3156748164.

The spelling of 71120384 in words is "seventy-one million, one hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8171 8704 16342 32684 65368 130736 138907 261472 277814 522944 555628 1045888 1111256 2091776 2222512 4183552 4445024 8890048 17780096 35560192 71120384