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81385080 = 23357213841
BaseRepresentation
bin1001101100111…
…01011001111000
312200010210100020
410312131121320
5131313310310
612024210440
72005522200
oct466353170
9180123306
1081385080
1141a378a7
1223309a20
1313b2696a
14ab47400
157229170
hex4d9d678

81385080 has 96 divisors (see below), whose sum is σ = 284037840. Its totient is φ = 18600960.

The previous prime is 81385079. The next prime is 81385081. The reversal of 81385080 is 8058318.

It is an interprime number because it is at equal distance from previous prime (81385079) and next prime (81385081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81385081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041 + ... + 12800.

Almost surely, 281385080 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 81385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142018920).

81385080 is an abundant number, since it is smaller than the sum of its proper divisors (202652760).

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

81385080 is a wasteful number, since it uses less digits than its factorization.

81385080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13858 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 81385080 is about 9021.3679672209. The cubic root of 81385080 is about 433.3594435286.

The spelling of 81385080 in words is "eighty-one million, three hundred eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 13841 27682 41523 55364 69205 83046 96887 110728 138410 166092 193774 207615 276820 290661 332184 387548 415230 484435 553640 581322 678209 775096 830460 968870 1162644 1356418 1453305 1660920 1937740 2034627 2325288 2712836 2906610 3391045 3875480 4069254 5425672 5813220 6782090 8138508 10173135 11626440 13564180 16277016 20346270 27128360 40692540 81385080