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81655280 = 2457433391
BaseRepresentation
bin1001101110111…
…11010111110000
312200122111222122
410313133113300
5131400432110
612034053412
72011026020
oct467372760
9180574878
1081655280
1142101903
122341a268
1313bbc945
14abb7a80
15727e255
hex4ddf5f0

81655280 has 80 divisors (see below), whose sum is σ = 222081024. Its totient is φ = 27336960.

The previous prime is 81655253. The next prime is 81655283. The reversal of 81655280 is 8255618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×816552803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 81655280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81655283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22385 + ... + 25775.

Almost surely, 281655280 is an apocalyptic number.

81655280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111040512).

81655280 is an abundant number, since it is smaller than the sum of its proper divisors (140425744).

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

81655280 is a wasteful number, since it uses less digits than its factorization.

81655280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 81655280 is about 9036.3311138979. The cubic root of 81655280 is about 433.8385009335.

The spelling of 81655280 in words is "eighty-one million, six hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3391 3440 4816 6020 6782 12040 13564 16955 23737 24080 27128 33910 47474 54256 67820 94948 118685 135640 145813 189896 237370 271280 291626 379792 474740 583252 729065 949480 1020691 1166504 1458130 1898960 2041382 2333008 2916260 4082764 5103455 5832520 8165528 10206910 11665040 16331056 20413820 40827640 81655280