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81517740 = 223547137211
BaseRepresentation
bin1001101101111…
…01110010101100
312200101112022120
410312331302230
5131332031430
612031112540
72006614023
oct466756254
9180345276
1081517740
1142018537
1223372750
1313b72165
14ab7d8ba
157253610
hex4dbdcac

81517740 has 96 divisors (see below), whose sum is σ = 235920384. Its totient is φ = 21020160.

The previous prime is 81517739. The next prime is 81517741. The reversal of 81517740 is 4771518.

81517740 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (81517739) and next prime (81517741).

It is a super-3 number, since 3×815177403 (a number of 25 digits) contains 333 as substring.

81517740 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (81517741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386235 + ... + 386445.

It is an arithmetic number, because the mean of its divisors is an integer number (2457504).

Almost surely, 281517740 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 81517740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117960192).

81517740 is an abundant number, since it is smaller than the sum of its proper divisors (154402644).

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

81517740 is a wasteful number, since it uses less digits than its factorization.

81517740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 81517740 is about 9028.7175169013. The cubic root of 81517740 is about 433.5947784555.

The spelling of 81517740 in words is "eighty-one million, five hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 137 141 188 211 235 274 282 411 422 470 548 564 633 685 705 822 844 940 1055 1266 1370 1410 1644 2055 2110 2532 2740 2820 3165 4110 4220 6330 6439 8220 9917 12660 12878 19317 19834 25756 28907 29751 32195 38634 39668 49585 57814 59502 64390 77268 86721 96585 99170 115628 119004 128780 144535 148755 173442 193170 198340 289070 297510 346884 386340 433605 578140 595020 867210 1358629 1734420 2717258 4075887 5434516 6793145 8151774 13586290 16303548 20379435 27172580 40758870 81517740