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71684514 = 2351122353
BaseRepresentation
bin1000100010111…
…01000110100010
311222212221200000
410101131012202
5121322401024
611040240430
71530210516
oct421350642
9158787600
1071684514
1137511700
1220010116
1311b0b495
149740146
15645ecc9
hex445d1a2

71684514 has 144 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 20386080.

The previous prime is 71684497. The next prime is 71684579. The reversal of 71684514 is 41548617.

It is a happy number.

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 1352512 + ... + 1352564.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 271684514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71684514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

71684514 is an abundant number, since it is smaller than the sum of its proper divisors (116541342).

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

71684514 is a wasteful number, since it uses less digits than its factorization.

71684514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71684514 is about 8466.6707742772. The cubic root of 71684514 is about 415.4082478008.

The spelling of 71684514 in words is "seventy-one million, six hundred eighty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 53 54 66 69 81 99 106 121 138 159 162 198 207 242 243 253 297 318 363 414 477 486 506 583 594 621 726 759 891 954 1089 1166 1219 1242 1431 1518 1749 1782 1863 2178 2277 2438 2673 2783 2862 3267 3498 3657 3726 4293 4554 5247 5346 5566 5589 6413 6534 6831 7314 8349 8586 9801 10494 10971 11178 12826 12879 13409 13662 15741 16698 19239 19602 20493 21942 25047 25758 26818 29403 31482 32913 38478 40227 40986 47223 50094 57717 58806 61479 65826 75141 80454 94446 98739 115434 120681 122958 141669 147499 150282 173151 197478 225423 241362 283338 294998 296217 346302 362043 442497 450846 519453 592434 676269 724086 884994 1038906 1086129 1327491 1352538 1558359 2172258 2654982 3116718 3258387 3982473 6516774 7964946 11947419 23894838 35842257 71684514