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2000900352 = 28311239991
BaseRepresentation
bin111011101000011…
…0101000100000000
312011110001021021110
41313100311010000
513044212302402
6530314123320
7100404241503
oct16720650400
95143037243
102000900352
11937502060
1247a120540
1325b701109
1414da5113a
15ba9de56c
hex77435100

2000900352 has 144 divisors (see below), whose sum is σ = 5839626240. Its totient is φ = 603187200.

The previous prime is 2000900333. The next prime is 2000900371. The reversal of 2000900352 is 2530090002.

It is an interprime number because it is at equal distance from previous prime (2000900333) and next prime (2000900371).

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, 2018577 + ... + 2019567.

It is an arithmetic number, because the mean of its divisors is an integer number (40552960).

Almost surely, 22000900352 is an apocalyptic number.

2000900352 is a gapful number since it is divisible by the number (22) 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 2000900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919813120).

2000900352 is an abundant number, since it is smaller than the sum of its proper divisors (3838725888).

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

2000900352 is a wasteful number, since it uses less digits than its factorization.

2000900352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2000900352 is about 44731.4246587340. The cubic root of 2000900352 is about 1260.1100836044.

Adding to 2000900352 its reverse (2530090002), we get a palindrome (4530990354).

The spelling of 2000900352 in words is "two billion, nine hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 239 256 264 352 384 478 528 704 717 768 956 991 1056 1408 1434 1912 1982 2112 2629 2816 2868 2973 3824 3964 4224 5258 5736 5946 7648 7887 7928 8448 10516 10901 11472 11892 15296 15774 15856 21032 21802 22944 23784 30592 31548 31712 32703 42064 43604 45888 47568 61184 63096 63424 65406 84128 87208 91776 95136 126192 126848 130812 168256 174416 183552 190272 236849 252384 253696 261624 336512 348832 380544 473698 504768 523248 673024 697664 710547 761088 947396 1009536 1046496 1395328 1421094 1894792 2019072 2092992 2605339 2790656 2842188 3789584 4185984 5210678 5684376 7579168 7816017 8371968 10421356 11368752 15158336 15632034 20842712 22737504 30316672 31264068 41685424 45475008 60633344 62528136 83370848 90950016 125056272 166741696 181900032 250112544 333483392 500225088 666966784 1000450176 2000900352