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81312510 = 23573107347
BaseRepresentation
bin1001101100010…
…11101011111110
312200000002210110
410312023223332
5131304000020
612022450450
72005100466
oct466135376
9180002713
1081312510
1141998324
1223293a26
1313acc916
14ab28ba6
1572128e0
hex4d8bafe

81312510 has 64 divisors (see below), whose sum is σ = 200247552. Its totient is φ = 21125376.

The previous prime is 81312503. The next prime is 81312551. The reversal of 81312510 is 1521318.

It is a super-2 number, since 2×813125102 = 13223448565000200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234157 + ... + 234503.

It is an arithmetic number, because the mean of its divisors is an integer number (3128868).

Almost surely, 281312510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81312510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100123776).

81312510 is an abundant number, since it is smaller than the sum of its proper divisors (118935042).

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

81312510 is a wasteful number, since it uses less digits than its factorization.

81312510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 81312510 is about 9017.3449529227. The cubic root of 81312510 is about 433.2305982621.

Adding to 81312510 its reverse (1521318), we get a palindrome (82833828).

The spelling of 81312510 in words is "eighty-one million, three hundred twelve thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 107 146 214 219 321 347 365 438 535 642 694 730 1041 1070 1095 1605 1735 2082 2190 3210 3470 5205 7811 10410 15622 23433 25331 37129 39055 46866 50662 74258 75993 78110 111387 117165 126655 151986 185645 222774 234330 253310 371290 379965 556935 759930 1113870 2710417 5420834 8131251 13552085 16262502 27104170 40656255 81312510