Search a number
-
+
1004909020 = 225313175113
BaseRepresentation
bin111011111001011…
…011000111011100
32121000220200000121
4323321123013130
54024224042040
6243414404324
733621404623
oct7371330734
92530820017
101004909020
11476277025
122406606a4
1313026872b
14976686ba
155d350c4a
hex3be5b1dc

1004909020 has 48 divisors (see below), whose sum is σ = 2185682688. Its totient is φ = 387694080.

The previous prime is 1004908999. The next prime is 1004909053. The reversal of 1004909020 is 209094001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193984 + ... + 199096.

It is an arithmetic number, because the mean of its divisors is an integer number (45535056).

Almost surely, 21004909020 is an apocalyptic number.

1004909020 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 1004909020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092841344).

1004909020 is an abundant number, since it is smaller than the sum of its proper divisors (1180773668).

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

1004909020 is a wasteful number, since it uses less digits than its factorization.

1004909020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1004909020 is about 31700.2999985805. The cubic root of 1004909020 is about 1001.6336696701.

The spelling of 1004909020 in words is "one billion, four million, nine hundred nine thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 317 620 634 1268 1585 3170 5113 6340 9827 10226 19654 20452 25565 39308 49135 51130 98270 102260 158503 196540 317006 634012 792515 1585030 1620821 3170060 3241642 6483284 8104105 16208210 32416420 50245451 100490902 200981804 251227255 502454510 1004909020