Search a number
-
+
1020305673 = 33371021327
BaseRepresentation
bin111100110100001…
…010000100001001
32122002212220021000
4330310022010021
54042144240143
6245124405213
734166312052
oct7464120411
92562786230
101020305673
11483a32832
12245846809
131334c978a
1499715729
155e892bd3
hex3cd0a109

1020305673 has 16 divisors (see below), whose sum is σ = 1552418560. Its totient is φ = 661819248.

The previous prime is 1020305659. The next prime is 1020305707. The reversal of 1020305673 is 3765030201.

It is a happy number.

It is not a de Polignac number, because 1020305673 - 28 = 1020305417 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020305633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509665 + ... + 511662.

It is an arithmetic number, because the mean of its divisors is an integer number (97026160).

Almost surely, 21020305673 is an apocalyptic number.

It is an amenable number.

1020305673 is a deficient number, since it is larger than the sum of its proper divisors (532112887).

1020305673 is a wasteful number, since it uses less digits than its factorization.

1020305673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021373 (or 1021367 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1020305673 is about 31942.2239833109. The cubic root of 1020305673 is about 1006.7232542176.

Adding to 1020305673 its reverse (3765030201), we get a palindrome (4785335874).

The spelling of 1020305673 in words is "one billion, twenty million, three hundred five thousand, six hundred seventy-three".

Divisors: 1 3 9 27 37 111 333 999 1021327 3063981 9191943 27575829 37789099 113367297 340101891 1020305673