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71023392 = 2534114753
BaseRepresentation
bin1000011101110…
…11101100100000
311221122100210000
410032323230200
5121140222032
611014140000
71521455166
oct416735440
9157570700
1071023392
11370aaa20
121b951600
131193959b
14960b236
15637de7c
hex43bbb20

71023392 has 240 divisors, whose sum is σ = 237105792. Its totient is φ = 20666880.

The previous prime is 71023367. The next prime is 71023397. The reversal of 71023392 is 29332017.

It is a super-2 number, since 2×710233922 = 10088644422371328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71023397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1340038 + ... + 1340090.

Almost surely, 271023392 is an apocalyptic number.

71023392 is a gapful number since it is divisible by the number (72) 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 71023392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552896).

71023392 is an abundant number, since it is smaller than the sum of its proper divisors (166082400).

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

71023392 is a wasteful number, since it uses less digits than its factorization.

71023392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 71023392 is about 8427.5377186934. The cubic root of 71023392 is about 414.1272450705.

The spelling of 71023392 in words is "seventy-one million, twenty-three thousand, three hundred ninety-two".