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1820065464 = 233473071307
BaseRepresentation
bin110110001111011…
…1111111010111000
311200211202220110000
41230132333322320
512211414043324
6500334153000
763050205210
oct15436777270
94624686400
101820065464
1185441a138
12429652760
132300c7219
14133a1b240
15a9bbd9c9
hex6c7bfeb8

1820065464 has 160 divisors (see below), whose sum is σ = 5849585280. Its totient is φ = 517928256.

The previous prime is 1820065447. The next prime is 1820065469. The reversal of 1820065464 is 4645600281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820065469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1391899 + ... + 1393205.

It is an arithmetic number, because the mean of its divisors is an integer number (36559908).

Almost surely, 21820065464 is an apocalyptic number.

1820065464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820065464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924792640).

1820065464 is an abundant number, since it is smaller than the sum of its proper divisors (4029519816).

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

1820065464 is a wasteful number, since it uses less digits than its factorization.

1820065464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1820065464 is about 42662.2252584180. The cubic root of 1820065464 is about 1220.9437881987.

The spelling of 1820065464 in words is "one billion, eight hundred twenty million, sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 307 324 378 504 567 614 648 756 921 1134 1228 1307 1512 1842 2149 2268 2456 2614 2763 3684 3921 4298 4536 5228 5526 6447 7368 7842 8289 8596 9149 10456 11052 11763 12894 15684 16578 17192 18298 19341 22104 23526 24867 25788 27447 31368 33156 35289 36596 38682 47052 49734 51576 54894 58023 66312 70578 73192 77364 82341 94104 99468 105867 109788 116046 141156 154728 164682 174069 198936 211734 219576 232092 247023 282312 329364 348138 401249 423468 464184 494046 658728 696276 741069 802498 846936 988092 1203747 1392552 1482138 1604996 1976184 2407494 2808743 2964276 3209992 3611241 4814988 5617486 5928552 7222482 8426229 9629976 10833723 11234972 14444964 16852458 21667446 22469944 25278687 28889928 32501169 33704916 43334892 50557374 65002338 67409832 75836061 86669784 101114748 130004676 151672122 202229496 227508183 260009352 303344244 455016366 606688488 910032732 1820065464