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71380716 = 22311292643
BaseRepresentation
bin1000100000100…
…10111011101100
311222022111221020
410100102323230
5121233140331
611025534140
71524504021
oct420227354
9158274836
1071380716
1137324430
121baa4350
1311a33114
1496a1548
1563eec96
hex4412eec

71380716 has 72 divisors (see below), whose sum is σ = 188470464. Its totient is φ = 20852160.

The previous prime is 71380709. The next prime is 71380717. The reversal of 71380716 is 61708317.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (71380717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110691 + ... + 111333.

Almost surely, 271380716 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 71380716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94235232).

71380716 is an abundant number, since it is smaller than the sum of its proper divisors (117089748).

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

71380716 is a wasteful number, since it uses less digits than its factorization.

71380716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 71380716 is about 8448.7109075882. The cubic root of 71380716 is about 414.8205853384.

The spelling of 71380716 in words is "seventy-one million, three hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 643 841 957 1276 1286 1682 1914 1929 2523 2572 3364 3828 3858 5046 7073 7716 9251 10092 14146 18502 18647 21219 27753 28292 37004 37294 42438 55506 55941 74588 84876 111012 111882 205117 223764 410234 540763 615351 820468 1081526 1230702 1622289 2163052 2461404 3244578 5948393 6489156 11896786 17845179 23793572 35690358 71380716