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71313726 = 231119293753
BaseRepresentation
bin1000100000000…
…10100100111110
311222012010001010
410100002210332
5121224014401
611024300050
71524104511
oct420024476
9158163033
1071313726
1137289070
121ba71626
1311a0b793
149684d78
1563d9ed6
hex440293e

71313726 has 128 divisors (see below), whose sum is σ = 177292800. Its totient is φ = 18869760.

The previous prime is 71313703. The next prime is 71313751. The reversal of 71313726 is 62731317.

It is a junction number, because it is equal to n+sod(n) for n = 71313693 and 71313702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345516 + ... + 1345568.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 271313726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71313726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88646400).

71313726 is an abundant number, since it is smaller than the sum of its proper divisors (105979074).

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

71313726 is a wasteful number, since it uses less digits than its factorization.

71313726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its digits is 5292, while the sum is 30.

The square root of 71313726 is about 8444.7454668569. The cubic root of 71313726 is about 414.6907765689.

The spelling of 71313726 in words is "seventy-one million, three hundred thirteen thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 11 19 22 29 33 37 38 53 57 58 66 74 87 106 111 114 159 174 209 222 318 319 407 418 551 583 627 638 703 814 957 1007 1073 1102 1166 1221 1254 1406 1537 1653 1749 1914 1961 2014 2109 2146 2442 3021 3074 3219 3306 3498 3922 4218 4611 5883 6042 6061 6438 7733 9222 11077 11766 11803 12122 15466 16907 18183 20387 21571 22154 23199 23606 29203 33231 33814 35409 36366 37259 40774 43142 46398 50721 56869 58406 61161 64713 66462 70818 74518 87609 101442 111777 113738 122322 129426 170607 175218 223554 224257 321233 341214 409849 448514 625559 642466 672771 819698 963699 1080511 1229547 1251118 1345542 1876677 1927398 2161022 2459094 3241533 3753354 6483066 11885621 23771242 35656863 71313726