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2001426720 = 25355996961
BaseRepresentation
bin111011101001011…
…0101100100100000
312011111001000022120
41313102311210200
513044331123340
6530333304240
7100411563216
oct16722654440
95144030276
102001426720
11937831577
1247a335080
1325b856887
1414db4acb6
15baa954d0
hex774b5920

2001426720 has 96 divisors (see below), whose sum is σ = 6315926400. Its totient is φ = 532746240.

The previous prime is 2001426683. The next prime is 2001426751. The reversal of 2001426720 is 276241002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284040 + ... + 291000.

It is an arithmetic number, because the mean of its divisors is an integer number (65790900).

Almost surely, 22001426720 is an apocalyptic number.

2001426720 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 2001426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157963200).

2001426720 is an abundant number, since it is smaller than the sum of its proper divisors (4314499680).

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

2001426720 is a wasteful number, since it uses less digits than its factorization.

2001426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2001426720 is about 44737.3079207947. The cubic root of 2001426720 is about 1260.2205711107.

Adding to 2001426720 its reverse (276241002), we get a palindrome (2277667722).

The spelling of 2001426720 in words is "two billion, one million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 599 1198 1797 2396 2995 3594 4792 5990 6961 7188 8985 9584 11980 13922 14376 17970 19168 20883 23960 27844 28752 34805 35940 41766 47920 55688 57504 69610 71880 83532 95840 104415 111376 139220 143760 167064 208830 222752 278440 287520 334128 417660 556880 668256 835320 1113760 1670640 3341280 4169639 8339278 12508917 16678556 20848195 25017834 33357112 41696390 50035668 62544585 66714224 83392780 100071336 125089170 133428448 166785560 200142672 250178340 333571120 400285344 500356680 667142240 1000713360 2001426720