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71342460 = 223257411381
BaseRepresentation
bin1000100000010…
…01100101111100
311222020120110100
410100021211330
5121230424320
611025041100
71524254340
oct420114574
9158216410
1071342460
11372a8712
121ba86190
1311a1b897
149691620
1563e3790
hex440997c

71342460 has 144 divisors (see below), whose sum is σ = 253536192. Its totient is φ = 15897600.

The previous prime is 71342459. The next prime is 71342477. The reversal of 71342460 is 6424317.

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 47 ways as a sum of consecutive naturals, for example, 50970 + ... + 52350.

It is an arithmetic number, because the mean of its divisors is an integer number (1760668).

Almost surely, 271342460 is an apocalyptic number.

71342460 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 71342460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126768096).

71342460 is an abundant number, since it is smaller than the sum of its proper divisors (182193732).

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

71342460 is a wasteful number, since it uses less digits than its factorization.

71342460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 71342460 is about 8446.4465901348. The cubic root of 71342460 is about 414.7464653562.

Adding to 71342460 its reverse (6424317), we get a palindrome (77766777).

The spelling of 71342460 in words is "seventy-one million, three hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1381 1435 1476 1722 1845 2460 2583 2762 2870 3444 3690 4143 4305 5166 5524 5740 6905 7380 8286 8610 9667 10332 12429 12915 13810 16572 17220 19334 20715 24858 25830 27620 29001 38668 41430 48335 49716 51660 56621 58002 62145 82860 87003 96670 113242 116004 124290 145005 169863 174006 193340 226484 248580 283105 290010 339726 348012 396347 435015 509589 566210 580020 679452 792694 849315 870030 1019178 1132420 1189041 1585388 1698630 1740060 1981735 2038356 2378082 2547945 3397260 3567123 3963470 4756164 5095890 5945205 7134246 7926940 10191780 11890410 14268492 17835615 23780820 35671230 71342460