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2004712704 = 28325316417
BaseRepresentation
bin111011101111101…
…0111110100000000
312011201012221211200
41313133113310000
513101201301304
6530531541200
7100451530311
oct16737276400
95151187750
102004712704
11939676365
1247b45a800
1325c437447
14150364608
15baee3e39
hex777d7d00

2004712704 has 108 divisors (see below), whose sum is σ = 5889497796. Its totient is φ = 655589376.

The previous prime is 2004712673. The next prime is 2004712733. The reversal of 2004712704 is 4072174002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 970447104 + 1034265600 = 31152^2 + 32160^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113904 + ... + 130320.

It is an arithmetic number, because the mean of its divisors is an integer number (54532387).

Almost surely, 22004712704 is an apocalyptic number.

2004712704 is a gapful number since it is divisible by the number (24) 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 2004712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944748898).

2004712704 is an abundant number, since it is smaller than the sum of its proper divisors (3884785092).

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

2004712704 is a wasteful number, since it uses less digits than its factorization.

2004712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16492 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2004712704 is about 44774.0181801902. The cubic root of 2004712704 is about 1260.9098794528.

Adding to 2004712704 its reverse (4072174002), we get a palindrome (6076886706).

The spelling of 2004712704 in words is "two billion, four million, seven hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 13568 15264 16417 20352 30528 32834 40704 49251 61056 65668 98502 122112 131336 147753 197004 262672 295506 394008 525344 591012 788016 870101 1050688 1182024 1576032 1740202 2101376 2364048 2610303 3152064 3480404 4202752 4728096 5220606 6304128 6960808 7830909 9456192 10441212 12608256 13921616 15661818 18912384 20882424 27843232 31323636 37824768 41764848 55686464 62647272 83529696 111372928 125294544 167059392 222745856 250589088 334118784 501178176 668237568 1002356352 2004712704