Search a number
-
+
81360432 = 243219131227
BaseRepresentation
bin1001101100101…
…11011000110000
312200002112112100
410312113120300
5131312013212
612023500400
72005360266
oct466273060
9180075470
1081360432
1141a2032a
12232b7700
1313b1868a
14ab3c436
157221bdc
hex4d97630

81360432 has 120 divisors (see below), whose sum is σ = 242573760. Its totient is φ = 25384320.

The previous prime is 81360401. The next prime is 81360439. The reversal of 81360432 is 23406318.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 81360396 and 81360405.

It is not an unprimeable number, because it can be changed into a prime (81360439) 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 23 ways as a sum of consecutive naturals, for example, 358303 + ... + 358529.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 281360432 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 81360432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121286880).

81360432 is an abundant number, since it is smaller than the sum of its proper divisors (161213328).

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

81360432 is a wasteful number, since it uses less digits than its factorization.

81360432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 81360432 is about 9020.0017738357. The cubic root of 81360432 is about 433.3156905375.

The spelling of 81360432 in words is "eighty-one million, three hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 131 144 152 171 227 228 262 304 342 393 454 456 524 681 684 786 908 912 1048 1179 1362 1368 1572 1816 2043 2096 2358 2489 2724 2736 3144 3632 4086 4313 4716 4978 5448 6288 7467 8172 8626 9432 9956 10896 12939 14934 16344 17252 18864 19912 22401 25878 29737 29868 32688 34504 38817 39824 44802 51756 59474 59736 69008 77634 89211 89604 103512 118948 119472 155268 178422 179208 207024 237896 267633 310536 356844 358416 475792 535266 565003 621072 713688 1070532 1130006 1427376 1695009 2141064 2260012 3390018 4282128 4520024 5085027 6780036 9040048 10170054 13560072 20340108 27120144 40680216 81360432