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81604710 = 232511312659
BaseRepresentation
bin1001101110100…
…11000001100110
312200112221121200
410313103001212
5131342322320
612033023330
72010425415
oct467230146
9180487550
1081604710
1142077910
12233b4b46
1313ba2915
14aba347c
15726e290
hex4dd3066

81604710 has 96 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 19137600.

The previous prime is 81604673. The next prime is 81604793. The reversal of 81604710 is 1740618.

It is a happy number.

It is a super-3 number, since 3×816047103 (a number of 25 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29361 + ... + 32019.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 281604710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81604710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

81604710 is an abundant number, since it is smaller than the sum of its proper divisors (157412250).

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

81604710 is a wasteful number, since it uses less digits than its factorization.

81604710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 81604710 is about 9033.5325316290. The cubic root of 81604710 is about 433.7489221432.

The spelling of 81604710 in words is "eighty-one million, six hundred four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2659 2790 3069 3410 5115 5318 6138 7977 10230 13295 15345 15954 23931 26590 29249 30690 39885 47862 58498 79770 82429 87747 119655 146245 164858 175494 239310 247287 263241 292490 412145 438735 494574 526482 741861 824290 877470 906719 1236435 1316205 1483722 1813438 2472870 2632410 2720157 3709305 4533595 5440314 7418610 8160471 9067190 13600785 16320942 27201570 40802355 81604710