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71371520 = 2851137137
BaseRepresentation
bin1000100000100…
…00101100000000
311222022001022122
410100100230000
5121232342040
611025423412
71524435143
oct420205400
9158261278
1071371520
1137318530
121ba9ab68
1311a2bb8c
14969c05a
1563ec1b5
hex4410b00

71371520 has 144 divisors (see below), whose sum is σ = 192937248. Its totient is φ = 25067520.

The previous prime is 71371513. The next prime is 71371541. The reversal of 71371520 is 2517317.

It is a super-2 number, since 2×713715202 = 10187787734220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71371520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520892 + ... + 521028.

It is an arithmetic number, because the mean of its divisors is an integer number (1339842).

Almost surely, 271371520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96468624).

71371520 is an abundant number, since it is smaller than the sum of its proper divisors (121565728).

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

71371520 is a wasteful number, since it uses less digits than its factorization.

71371520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 71371520 is about 8448.1666650227. The cubic root of 71371520 is about 414.8027707513.

Adding to 71371520 its reverse (2517317), we get a palindrome (73888837).

The spelling of 71371520 in words is "seventy-one million, three hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 128 137 148 160 176 185 220 256 274 296 320 352 370 407 440 548 592 640 685 704 740 814 880 1096 1184 1280 1370 1408 1480 1507 1628 1760 2035 2192 2368 2740 2816 2960 3014 3256 3520 4070 4384 4736 5069 5480 5920 6028 6512 7040 7535 8140 8768 9472 10138 10960 11840 12056 13024 14080 15070 16280 17536 20276 21920 23680 24112 25345 26048 30140 32560 35072 40552 43840 47360 48224 50690 52096 55759 60280 65120 81104 87680 96448 101380 104192 111518 120560 130240 162208 175360 192896 202760 223036 241120 260480 278795 324416 385792 405520 446072 482240 520960 557590 648832 811040 892144 964480 1115180 1297664 1622080 1784288 1928960 2230360 3244160 3568576 4460720 6488320 7137152 8921440 14274304 17842880 35685760 71371520