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71176980 = 223571371237
BaseRepresentation
bin1000011111000…
…01001100010100
311221221011110110
410033201030110
5121210130410
611021323020
71522665030
oct417411424
9157834413
1071176980
11371a5356
121ba06470
1311991474
14964b1c0
1563ae720
hex43e1314

71176980 has 96 divisors (see below), whose sum is σ = 229614336. Its totient is φ = 16137216.

The previous prime is 71176969. The next prime is 71176993. The reversal of 71176980 is 8967117.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56922 + ... + 58158.

It is an arithmetic number, because the mean of its divisors is an integer number (2391816).

Almost surely, 271176980 is an apocalyptic number.

71176980 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 71176980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114807168).

71176980 is an abundant number, since it is smaller than the sum of its proper divisors (158437356).

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

71176980 is a wasteful number, since it uses less digits than its factorization.

71176980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 71176980 is about 8436.6450677980. The cubic root of 71176980 is about 414.4255467050.

The spelling of 71176980 in words is "seventy-one million, one hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1237 1370 1644 1918 2055 2474 2740 2877 3711 3836 4110 4795 4948 5754 6185 7422 8220 8659 9590 11508 12370 14385 14844 17318 18555 19180 24740 25977 28770 34636 37110 43295 51954 57540 74220 86590 103908 129885 169469 173180 259770 338938 508407 519540 677876 847345 1016814 1186283 1694690 2033628 2372566 2542035 3389380 3558849 4745132 5084070 5931415 7117698 10168140 11862830 14235396 17794245 23725660 35588490 71176980