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2001021440 = 2951171059
BaseRepresentation
bin111011101000101…
…0010101000000000
312011110021102101012
41313101102220000
513044230141230
6530320500052
7100405254515
oct16721225000
95143242335
102001021440
11937585030
1247a17a628
1325b744272
1414da8330c
15baa15395
hex77452a00

2001021440 has 80 divisors (see below), whose sum is σ = 5233995360. Its totient is φ = 727633920.

The previous prime is 2001021433. The next prime is 2001021481. The reversal of 2001021440 is 441201002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7370 + ... + 63689.

It is an arithmetic number, because the mean of its divisors is an integer number (65424942).

Almost surely, 22001021440 is an apocalyptic number.

2001021440 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 2001021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616997680).

2001021440 is an abundant number, since it is smaller than the sum of its proper divisors (3232973920).

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

2001021440 is an equidigital number, since it uses as much as digits as its factorization.

2001021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71093 (or 71077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2001021440 is about 44732.7781386312. The cubic root of 2001021440 is about 1260.1355023502.

Adding to 2001021440 its reverse (441201002), we get a palindrome (2442222442).

The spelling of 2001021440 in words is "two billion, one million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 71059 142118 284236 355295 568472 710590 781649 1136944 1421180 1563298 2273888 2842360 3126596 3908245 4547776 5684720 6253192 7816490 9095552 11369440 12506384 15632980 18191104 22738880 25012768 31265960 36382208 45477760 50025536 62531920 90955520 100051072 125063840 181911040 200102144 250127680 400204288 500255360 1000510720 2001021440