Search a number
-
+
81730628 = 227217191291
BaseRepresentation
bin1001101111100…
…01110001000100
312200210100100022
410313301301010
5131410340003
612035434312
72011461500
oct467616104
9180710308
1081730628
1142153481
1223455998
1313c18025
14abd7300
157296738
hex4df1c44

81730628 has 72 divisors (see below), whose sum is σ = 185582880. Its totient is φ = 31207680.

The previous prime is 81730567. The next prime is 81730657. The reversal of 81730628 is 82603718.

It is a congruent number.

It is an unprimeable number.

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, 62663 + ... + 63953.

It is an arithmetic number, because the mean of its divisors is an integer number (2577540).

Almost surely, 281730628 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 81730628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92791440).

81730628 is an abundant number, since it is smaller than the sum of its proper divisors (103852252).

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

81730628 is a wasteful number, since it uses less digits than its factorization.

81730628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 81730628 is about 9040.4993224932. The cubic root of 81730628 is about 433.9719024474.

The spelling of 81730628 in words is "eighty-one million, seven hundred thirty thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 476 532 646 833 931 1291 1292 1666 1862 2261 2582 3332 3724 4522 5164 9037 9044 15827 18074 21947 24529 31654 36148 43894 49058 63259 63308 87788 98116 126518 153629 171703 253036 307258 343406 416993 614516 686812 833986 1075403 1201921 1667972 2150806 2403842 2918951 4301612 4807684 5837902 11675804 20432657 40865314 81730628