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81180288 = 2732710067
BaseRepresentation
bin1001101011010…
…11011010000000
312122202101102100
410311223122000
5131240232123
612015550400
72004010140
oct465533200
9178671370
1081180288
1141907a52
122322b400
1313a84697
14aad2920
1571d8643
hex4d6b680

81180288 has 96 divisors (see below), whose sum is σ = 267003360. Its totient is φ = 23192064.

The previous prime is 81180277. The next prime is 81180313. The reversal of 81180288 is 88208118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3031 + ... + 13097.

It is an arithmetic number, because the mean of its divisors is an integer number (2781285).

Almost surely, 281180288 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 81180288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133501680).

81180288 is an abundant number, since it is smaller than the sum of its proper divisors (185823072).

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

81180288 is a wasteful number, since it uses less digits than its factorization.

81180288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10094 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 81180288 is about 9010.0104328463. The cubic root of 81180288 is about 432.9956459230.

The spelling of 81180288 in words is "eighty-one million, one hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 10067 20134 30201 40268 60402 70469 80536 90603 120804 140938 161072 181206 211407 241608 281876 322144 362412 422814 483216 563752 634221 644288 724824 845628 966432 1127504 1268442 1288576 1449648 1691256 1932864 2255008 2536884 2899296 3382512 3865728 4510016 5073768 5798592 6765024 9020032 10147536 11597184 13530048 20295072 27060096 40590144 81180288