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81602730 = 232511139593
BaseRepresentation
bin1001101110100…
…10100010101010
312200112211220100
410313102202222
5131342241410
612033010230
72010416556
oct467224252
9180484810
1081602730
1142076380
12233b3976
1313ba1a51
14aba2866
15726d8c0
hex4dd28aa

81602730 has 96 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 19607040.

The previous prime is 81602711. The next prime is 81602743. The reversal of 81602730 is 3720618.

It is a junction number, because it is equal to n+sod(n) for n = 81602694 and 81602703.

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 47 ways as a sum of consecutive naturals, for example, 137314 + ... + 137906.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 281602730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81602730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

81602730 is an abundant number, since it is smaller than the sum of its proper divisors (151910550).

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

81602730 is a wasteful number, since it uses less digits than its factorization.

81602730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 81602730 is about 9033.4229392850. The cubic root of 81602730 is about 433.7454140540.

The spelling of 81602730 in words is "eighty-one million, six hundred two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 139 165 198 278 330 417 495 593 695 834 990 1186 1251 1390 1529 1779 2085 2502 2965 3058 3558 4170 4587 5337 5930 6255 6523 7645 8895 9174 10674 12510 13046 13761 15290 17790 19569 22935 26685 27522 32615 39138 45870 53370 58707 65230 68805 82427 97845 117414 137610 164854 195690 247281 293535 412135 494562 587070 741843 824270 906697 1236405 1483686 1813394 2472810 2720091 3709215 4533485 5440182 7418430 8160273 9066970 13600455 16320546 27200910 40801365 81602730