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71104320 = 2632573527
BaseRepresentation
bin1000011110011…
…11011101000000
311221210110210100
410033033131000
5121200314240
611020002400
71522243140
oct417173500
9157713710
1071104320
1137155801
121b990400
1311967381
14962c920
156397e30
hex43cf740

71104320 has 168 divisors, whose sum is σ = 279586944. Its totient is φ = 16247808.

The previous prime is 71104309. The next prime is 71104331. The reversal of 71104320 is 2340117.

It is an interprime number because it is at equal distance from previous prime (71104309) and next prime (71104331).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 71104293 and 71104302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18397 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 271104320 is an apocalyptic number.

71104320 is a gapful number since it is divisible by the number (70) 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 71104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

71104320 is an abundant number, since it is smaller than the sum of its proper divisors (208482624).

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

71104320 is a wasteful number, since it uses less digits than its factorization.

71104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71104320 is about 8432.3377541462. The cubic root of 71104320 is about 414.2844785649.

Adding to 71104320 its reverse (2340117), we get a palindrome (73444437).

The spelling of 71104320 in words is "seventy-one million, one hundred four thousand, three hundred twenty".