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81813690 = 23257177639
BaseRepresentation
bin1001110000001…
…10000010111010
312200221120021200
410320012002322
5131421014230
612041315030
72012255610
oct470060272
9180846250
1081813690
11421aa922
1223495a76
1313c46a8a
14ac196b0
1572b1160
hex4e060ba

81813690 has 96 divisors (see below), whose sum is σ = 257437440. Its totient is φ = 17597952.

The previous prime is 81813689. The next prime is 81813703. The reversal of 81813690 is 9631818.

It is a super-2 number, since 2×818136902 = 13386959742832200, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6891 + ... + 14529.

It is an arithmetic number, because the mean of its divisors is an integer number (2681640).

Almost surely, 281813690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81813690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128718720).

81813690 is an abundant number, since it is smaller than the sum of its proper divisors (175623750).

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

81813690 is a wasteful number, since it uses less digits than its factorization.

81813690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 81813690 is about 9045.0920393327. The cubic root of 81813690 is about 434.1188664056.

The spelling of 81813690 in words is "eighty-one million, eight hundred thirteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 7639 10710 15278 22917 38195 45834 53473 68751 76390 106946 114585 129863 137502 160419 229170 259726 267365 320838 343755 389589 481257 534730 649315 687510 779178 802095 909041 962514 1168767 1298630 1604190 1818082 1947945 2337534 2406285 2727123 3895890 4545205 4812570 5454246 5843835 8181369 9090410 11687670 13635615 16362738 27271230 40906845 81813690