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71308064 = 2517196899
BaseRepresentation
bin1000100000000…
…01001100100000
311222011211021102
410100001030200
5121223324224
611024213532
71524052142
oct420011440
9158154242
1071308064
1137284893
121ba6a2a8
1311a09029
149682c92
1563d84ae
hex4401320

71308064 has 48 divisors (see below), whose sum is σ = 156492000. Its totient is φ = 31785984.

The previous prime is 71308043. The next prime is 71308067. The reversal of 71308064 is 46080317.

It is not an unprimeable number, because it can be changed into a prime (71308067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6887 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (3260250).

Almost surely, 271308064 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 71308064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78246000).

71308064 is an abundant number, since it is smaller than the sum of its proper divisors (85183936).

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

71308064 is a wasteful number, since it uses less digits than its factorization.

71308064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 71308064 is about 8444.4102221529. The cubic root of 71308064 is about 414.6798013965.

The spelling of 71308064 in words is "seventy-one million, three hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 6899 10336 13798 27596 55192 110384 117283 131081 220768 234566 262162 469132 524324 938264 1048648 1876528 2097296 2228377 3753056 4194592 4456754 8913508 17827016 35654032 71308064