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2001023340 = 2235316716057
BaseRepresentation
bin111011101000101…
…0011000101101100
312011110021111222120
41313101103011230
513044230221330
6530320512540
7100405263201
oct16721230554
95143244876
102001023340
119375864a8
1247a17b750
1325b7450a4
1414da83ca8
15baa15c10
hex7745316c

2001023340 has 96 divisors (see below), whose sum is σ = 5870290944. Its totient is φ = 508654080.

The previous prime is 2001023257. The next prime is 2001023341. The reversal of 2001023340 is 433201002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2001023341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116592 + ... + 132648.

It is an arithmetic number, because the mean of its divisors is an integer number (61148864).

Almost surely, 22001023340 is an apocalyptic number.

2001023340 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 2001023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935145472).

2001023340 is an abundant number, since it is smaller than the sum of its proper divisors (3869267604).

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

2001023340 is a wasteful number, since it uses less digits than its factorization.

2001023340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16167 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2001023340 is about 44732.7993758495. The cubic root of 2001023340 is about 1260.1359011893.

Adding to 2001023340 its reverse (433201002), we get a palindrome (2434224342).

The spelling of 2001023340 in words is "two billion, one million, twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 134 155 186 201 268 310 335 372 402 465 620 670 804 930 1005 1340 1860 2010 2077 4020 4154 6231 8308 10385 12462 16057 20770 24924 31155 32114 41540 48171 62310 64228 80285 96342 124620 160570 192684 240855 321140 481710 497767 963420 995534 1075819 1493301 1991068 2151638 2488835 2986602 3227457 4303276 4977670 5379095 5973204 6454914 7466505 9955340 10758190 12909828 14933010 16137285 21516380 29866020 32274570 33350389 64549140 66700778 100051167 133401556 166751945 200102334 333503890 400204668 500255835 667007780 1000511670 2001023340