Search a number
-
+
81820098 = 23331371321
BaseRepresentation
bin1001110000001…
…11100111000010
312200221220002000
410320013213002
5131421220343
612041404430
72012313363
oct470074702
9180856060
1081820098
1142204718
1223499716
1313c49979
14ac1bb6a
1572b2ed3
hex4e079c2

81820098 has 64 divisors (see below), whose sum is σ = 192906240. Its totient is φ = 25660800.

The previous prime is 81820073. The next prime is 81820117. The reversal of 81820098 is 89002818.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61278 + ... + 62598.

It is an arithmetic number, because the mean of its divisors is an integer number (3014160).

Almost surely, 281820098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81820098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96453120).

81820098 is an abundant number, since it is smaller than the sum of its proper divisors (111086142).

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

81820098 is a wasteful number, since it uses less digits than its factorization.

81820098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 81820098 is about 9045.4462576481. The cubic root of 81820098 is about 434.1302001285.

The spelling of 81820098 in words is "eighty-one million, eight hundred twenty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 111 186 222 279 333 558 666 837 999 1147 1321 1674 1998 2294 2642 3441 3963 6882 7926 10323 11889 20646 23778 30969 35667 40951 48877 61938 71334 81902 97754 122853 146631 245706 293262 368559 439893 737118 879786 1105677 1319679 1515187 2211354 2639358 3030374 4545561 9091122 13636683 27273366 40910049 81820098