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81401418 = 23271095927
BaseRepresentation
bin1001101101000…
…01011001001010
312200011121202100
410312201121022
5131314321133
612024414230
72005620630
oct466413112
9180147670
1081401418
1141a490aa
1223317376
1313b31227
14ab4d350
15722de13
hex4da164a

81401418 has 48 divisors (see below), whose sum is σ = 203448960. Its totient is φ = 23040288.

The previous prime is 81401413. The next prime is 81401431. The reversal of 81401418 is 81410418.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81401391 and 81401400.

It is not an unprimeable number, because it can be changed into a prime (81401413) 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, 10771 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (4238520).

Almost surely, 281401418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81401418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101724480).

81401418 is an abundant number, since it is smaller than the sum of its proper divisors (122047542).

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

81401418 is a wasteful number, since it uses less digits than its factorization.

81401418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 81401418 is about 9022.2734385519. The cubic root of 81401418 is about 433.3884404605.

The spelling of 81401418 in words is "eighty-one million, four hundred one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 5927 6867 11854 13734 17781 35562 41489 53343 82978 106686 124467 248934 373401 646043 746802 1292086 1938129 3876258 4522301 5814387 9044602 11628774 13566903 27133806 40700709 81401418