Search a number
-
+
1004541320 = 23573344021
BaseRepresentation
bin111011111000000…
…001010110001000
32121000012222122002
4323320001112020
54024130310240
6243402450132
733615313616
oct7370012610
92530188562
101004541320
11476045842
12240503948
1313016a263
14975b06b6
155d2cbd15
hex3be01588

1004541320 has 32 divisors (see below), whose sum is σ = 2291186520. Its totient is φ = 396311040.

The previous prime is 1004541313. The next prime is 1004541323. The reversal of 1004541320 is 231454001.

It can be written as a sum of positive squares in 4 ways, for example, as 998180836 + 6360484 = 31594^2 + 2522^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004541292 and 1004541301.

It is not an unprimeable number, because it can be changed into a prime (1004541323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 169091 + ... + 174930.

Almost surely, 21004541320 is an apocalyptic number.

1004541320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004541320 is an abundant number, since it is smaller than the sum of its proper divisors (1286645200).

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

1004541320 is a wasteful number, since it uses less digits than its factorization.

1004541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344105 (or 344101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1004541320 is about 31694.4998383000. The cubic root of 1004541320 is about 1001.5114875876.

Adding to 1004541320 its reverse (231454001), we get a palindrome (1235995321).

The spelling of 1004541320 in words is "one billion, four million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 344021 688042 1376084 1720105 2752168 3440210 6880420 13760840 25113533 50227066 100454132 125567665 200908264 251135330 502270660 1004541320