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2001001040 = 245163173887
BaseRepresentation
bin111011101000100…
…1101101001010000
312011110020101101122
41313101031221100
513044224013130
6530320221412
7100405141163
oct16721155120
95143211348
102001001040
11937570775
1247a16a868
1325b737bac
1414da79ada
15baa0e2e5
hex7744da50

2001001040 has 80 divisors (see below), whose sum is σ = 4713234048. Its totient is φ = 790000128.

The previous prime is 2001001019. The next prime is 2001001091. The reversal of 2001001040 is 401001002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 2255477 + ... + 2256363.

Almost surely, 22001001040 is an apocalyptic number.

2001001040 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 2001001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356617024).

2001001040 is an abundant number, since it is smaller than the sum of its proper divisors (2712233008).

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

2001001040 is a wasteful number, since it uses less digits than its factorization.

2001001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2001001040 is about 44732.5501173363. The cubic root of 2001001040 is about 1260.1312200619.

Adding to 2001001040 its reverse (401001002), we get a palindrome (2402002042).

The spelling of 2001001040 in words is "two billion, one million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 173 326 346 652 692 815 865 887 1304 1384 1630 1730 1774 2608 2768 3260 3460 3548 4435 6520 6920 7096 8870 13040 13840 14192 17740 28199 35480 56398 70960 112796 140995 144581 153451 225592 281990 289162 306902 451184 563980 578324 613804 722905 767255 1127960 1156648 1227608 1445810 1534510 2255920 2313296 2455216 2891620 3069020 5783240 6138040 11566480 12276080 25012513 50025026 100050052 125062565 200100104 250125130 400200208 500250260 1000500520 2001001040