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71314650 = 232521114407
BaseRepresentation
bin1000100000000…
…10110011011010
311222012011022100
410100002303122
5121224032100
611024304230
71524110301
oct420026332
9158164270
1071314650
1137289830
121ba72076
1311a0c024
149685438
1563da400
hex4402cda

71314650 has 72 divisors (see below), whose sum is σ = 209031264. Its totient is φ = 17287200.

The previous prime is 71314637. The next prime is 71314669. The reversal of 71314650 is 5641317.

71314650 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 4 + 650 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2254 + ... + 12153.

It is an arithmetic number, because the mean of its divisors is an integer number (2903212).

Almost surely, 271314650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71314650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104515632).

71314650 is an abundant number, since it is smaller than the sum of its proper divisors (137716614).

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

71314650 is a wasteful number, since it uses less digits than its factorization.

71314650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14436 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71314650 is about 8444.8001752558. The cubic root of 71314650 is about 414.6925675875.

Adding to 71314650 its reverse (5641317), we get a palindrome (76955967).

It can be divided in two parts, 7131 and 4650, that added together give a triangular number (11781 = T153).

The spelling of 71314650 in words is "seventy-one million, three hundred fourteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 14407 28814 43221 72035 86442 129663 144070 158477 216105 259326 316954 360175 432210 475431 648315 720350 792385 950862 1080525 1296630 1426293 1584770 2161050 2377155 2852586 3241575 3961925 4754310 6483150 7131465 7923850 11885775 14262930 23771550 35657325 71314650