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1466000046 = 23673792
BaseRepresentation
bin101011101100001…
…0110001010101110
310210011112112000000
41113120112022232
511000244000141
6401245245130
751220536420
oct12730261256
93704475000
101466000046
11692578595
1234ab637a6
131a4949764
14dc9b2810
1588a805b6
hex576162ae

1466000046 has 84 divisors (see below), whose sum is σ = 3777958872. Its totient is φ = 417751992.

The previous prime is 1466000027. The next prime is 1466000047. The reversal of 1466000046 is 6400006641.

1466000046 is a `hidden beast` number, since 14 + 6 + 600 + 0 + 0 + 46 = 666.

It is a super-2 number, since 2×14660000462 = 4298312269744004232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1465999983 and 1466000019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466000047) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3867885 + ... + 3868263.

Almost surely, 21466000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888979436).

1466000046 is an abundant number, since it is smaller than the sum of its proper divisors (2311958826).

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

1466000046 is an frugal number, since it uses more digits than its factorization.

1466000046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1466000046 is about 38288.3800388577. The cubic root of 1466000046 is about 1135.9991192010. Note that the first 3 decimals are identical.

Adding to 1466000046 its reverse (6400006641), we get a palindrome (7866006687).

The spelling of 1466000046 in words is "one billion, four hundred sixty-six million, forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 379 486 567 729 758 1134 1137 1458 1701 2274 2653 3402 3411 5103 5306 6822 7959 10206 10233 15918 20466 23877 30699 47754 61398 71631 92097 143262 143641 184194 214893 276291 287282 429786 430923 552582 644679 861846 1005487 1289358 1292769 1934037 2010974 2585538 3016461 3868074 3878307 6032922 7756614 9049383 11634921 18098766 23269842 27148149 34904763 54296298 69809526 81444447 104714289 162888894 209428578 244333341 488666682 733000023 1466000046