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2004739220 = 2251124137811
BaseRepresentation
bin111011101111101…
…1110010010010100
312011201021022012202
41313133132102110
513101203123340
6530532304032
7100452000521
oct16737362224
95151238182
102004739220
11939694280
1247b472018
1325c446533
14150370148
15baeebc15
hex777de494

2004739220 has 48 divisors (see below), whose sum is σ = 4611854016. Its totient is φ = 725952000.

The previous prime is 2004739207. The next prime is 2004739241. The reversal of 2004739220 is 229374002.

It is a happy number.

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, 34115 + ... + 71925.

It is an arithmetic number, because the mean of its divisors is an integer number (96080292).

Almost surely, 22004739220 is an apocalyptic number.

2004739220 is a gapful number since it is divisible by the number (20) 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 2004739220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305927008).

2004739220 is an abundant number, since it is smaller than the sum of its proper divisors (2607114796).

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

2004739220 is a wasteful number, since it uses less digits than its factorization.

2004739220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38072 (or 38070 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2004739220 is about 44774.3142884400. The cubic root of 2004739220 is about 1260.9154387098.

The spelling of 2004739220 in words is "two billion, four million, seven hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4820 5302 10604 13255 26510 37811 53020 75622 151244 189055 378110 415921 756220 831842 1663684 2079605 4159210 8318420 9112451 18224902 36449804 45562255 91124510 100236961 182249020 200473922 400947844 501184805 1002369610 2004739220