Search a number
-
+
1660418028 = 223513072
BaseRepresentation
bin110001011110111…
…1111011111101100
311021201100222100000
41202331333133230
511400031334103
6432432304300
756101214613
oct14275773754
94251328300
101660418028
11782298705
123a40a2090
13205ccb099
1411a74087a
159ab85aa3
hex62f7f7ec

1660418028 has 54 divisors (see below), whose sum is σ = 4355951236. Its totient is φ = 553049208.

The previous prime is 1660418017. The next prime is 1660418029. The reversal of 1660418028 is 8208140661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1660418028 is a `hidden beast` number, since 16 + 604 + 18 + 0 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 1660417983 and 1660418001.

It is not an unprimeable number, because it can be changed into a prime (1660418029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1269751 + ... + 1271057.

Almost surely, 21660418028 is an apocalyptic number.

1660418028 is a gapful number since it is divisible by the number (18) 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 1660418028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177975618).

1660418028 is an abundant number, since it is smaller than the sum of its proper divisors (2695533208).

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

1660418028 is an frugal number, since it uses more digits than its factorization.

1660418028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1660418028 is about 40748.2272988654. The cubic root of 1660418028 is about 1184.1475298194.

Adding to 1660418028 its reverse (8208140661), we get a palindrome (9868558689).

The spelling of 1660418028 in words is "one billion, six hundred sixty million, four hundred eighteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1307 2614 3921 5228 7842 11763 15684 23526 35289 47052 70578 105867 141156 211734 317601 423468 635202 1270404 1708249 3416498 5124747 6832996 10249494 15374241 20498988 30748482 46122723 61496964 92245446 138368169 184490892 276736338 415104507 553472676 830209014 1660418028