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71093520 = 24325293337
BaseRepresentation
bin1000011110011…
…00110100010000
311221202220222100
410033030310100
5121144443040
611015440400
71522166511
oct417146420
9157686870
1071093520
1137148683
121b986100
1311962494
149628a08
156394b30
hex43ccd10

71093520 has 120 divisors (see below), whose sum is σ = 240281496. Its totient is φ = 18837504.

The previous prime is 71093501. The next prime is 71093521. The reversal of 71093520 is 2539017.

It can be written as a sum of positive squares in 4 ways, for example, as 15023376 + 56070144 = 3876^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (71093521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 210792 + ... + 211128.

Almost surely, 271093520 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 71093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120140748).

71093520 is an abundant number, since it is smaller than the sum of its proper divisors (169187976).

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

71093520 is a wasteful number, since it uses less digits than its factorization.

71093520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 71093520 is about 8431.6973380216. The cubic root of 71093520 is about 414.2635023480.

The spelling of 71093520 in words is "seventy-one million, ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 293 337 360 586 674 720 879 1011 1172 1348 1465 1685 1758 2022 2344 2637 2696 2930 3033 3370 3516 4044 4395 4688 5055 5274 5392 5860 6066 6740 7032 8088 8790 10110 10548 11720 12132 13185 13480 14064 15165 16176 17580 20220 21096 23440 24264 26370 26960 30330 35160 40440 42192 48528 52740 60660 70320 80880 98741 105480 121320 197482 210960 242640 296223 394964 493705 592446 789928 888669 987410 1184892 1481115 1579856 1777338 1974820 2369784 2962230 3554676 3949640 4443345 4739568 5924460 7109352 7899280 8886690 11848920 14218704 17773380 23697840 35546760 71093520