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2004240020 = 2251572512543
BaseRepresentation
bin111011101110110…
…0100011010010100
312011200022221102212
41313131210122110
513101041140040
6530513452552
7100444521236
oct16735443224
95150287385
102004240020
11939383212
1247b271158
1325c300253
14150280256
15bae4dd65
hex77764694

2004240020 has 48 divisors (see below), whose sum is σ = 4254259968. Its totient is φ = 793104000.

The previous prime is 2004240011. The next prime is 2004240037. The reversal of 2004240020 is 200424002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2004239977 and 2004240004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786869 + ... + 789411.

It is an arithmetic number, because the mean of its divisors is an integer number (88630416).

Almost surely, 22004240020 is an apocalyptic number.

2004240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004240020 is an abundant number, since it is smaller than the sum of its proper divisors (2250019948).

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

2004240020 is a wasteful number, since it uses less digits than its factorization.

2004240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2004240020 is about 44768.7393166258. The cubic root of 2004240020 is about 1260.8107698607.

Adding to 2004240020 its reverse (200424002), we get a palindrome (2204664022).

The spelling of 2004240020 in words is "two billion, four million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 157 251 314 502 628 785 1004 1255 1570 2510 2543 3140 5020 5086 10172 12715 25430 39407 50860 78814 157628 197035 394070 399251 638293 788140 798502 1276586 1597004 1996255 2553172 3191465 3992510 6382930 7985020 12765860 100212001 200424002 400848004 501060005 1002120010 2004240020