Search a number
-
+
1004900020 = 2253710391307
BaseRepresentation
bin111011111001011…
…000111010110100
32121000220012200021
4323321120322310
54024223300040
6243414254524
733621336445
oct7371307264
92530805607
101004900020
11476270293
12240657444
131302645c7
14976652cc
155d34d24a
hex3be58eb4

1004900020 has 48 divisors (see below), whose sum is σ = 2171070720. Its totient is φ = 390420864.

The previous prime is 1004900011. The next prime is 1004900021. The reversal of 1004900020 is 200094001.

It is a junction number, because it is equal to n+sod(n) for n = 1004899967 and 1004900003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004900021) 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, 768207 + ... + 769513.

It is an arithmetic number, because the mean of its divisors is an integer number (45230640).

Almost surely, 21004900020 is an apocalyptic number.

1004900020 is a gapful number since it is divisible by the number (10) 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 1004900020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085535360).

1004900020 is an abundant number, since it is smaller than the sum of its proper divisors (1166170700).

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

1004900020 is a wasteful number, since it uses less digits than its factorization.

1004900020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1004900020 is about 31700.1580437701. The cubic root of 1004900020 is about 1001.6306794392.

Adding to 1004900020 its reverse (200094001), we get a palindrome (1204994021).

The spelling of 1004900020 in words is "one billion, four million, nine hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1039 1307 2078 2614 4156 5195 5228 6535 10390 13070 20780 26140 38443 48359 76886 96718 153772 192215 193436 241795 384430 483590 768860 967180 1357973 2715946 5431892 6789865 13579730 27159460 50245001 100490002 200980004 251225005 502450010 1004900020