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81180320 = 25513311259
BaseRepresentation
bin1001101011010…
…11011010100000
312122202101110112
410311223122200
5131240232240
612015550452
72004010214
oct465533240
9178671415
1081180320
1141907a81
122322b428
1313a846c0
14aad2944
1571d8665
hex4d6b6a0

81180320 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 28984320.

The previous prime is 81180313. The next prime is 81180329. The reversal of 81180320 is 2308118.

It is not an unprimeable number, because it can be changed into a prime (81180329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63851 + ... + 65109.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 281180320 is an apocalyptic number.

81180320 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 81180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

81180320 is an abundant number, since it is smaller than the sum of its proper divisors (132193120).

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

81180320 is a wasteful number, since it uses less digits than its factorization.

81180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 81180320 is about 9010.0122086488. The cubic root of 81180320 is about 432.9957028164.

Adding to 81180320 its reverse (2308118), we get a palindrome (83488438).

The spelling of 81180320 in words is "eighty-one million, one hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1259 1612 2015 2080 2480 2518 3224 4030 4960 5036 6295 6448 8060 10072 12590 12896 16120 16367 20144 25180 32240 32734 39029 40288 50360 64480 65468 78058 81835 100720 130936 156116 163670 195145 201440 261872 312232 327340 390290 507377 523744 624464 654680 780580 1014754 1248928 1309360 1561160 2029508 2536885 2618720 3122320 4059016 5073770 6244640 8118032 10147540 16236064 20295080 40590160 81180320