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2002100640 = 25354397001
BaseRepresentation
bin111011101010101…
…1010000110100000
312011112022020202120
41313111122012200
513100014210030
6530355544240
7100420401051
oct16725320640
95145266676
102002100640
11938151931
1247a5bb080
1325ba31547
1414dc84728
15bab7a010
hex7755a1a0

2002100640 has 96 divisors (see below), whose sum is σ = 6453349056. Its totient is φ = 521472000.

The previous prime is 2002100629. The next prime is 2002100677. The reversal of 2002100640 is 460012002.

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 (15).

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, 27861 + ... + 69140.

It is an arithmetic number, because the mean of its divisors is an integer number (67222386).

Almost surely, 22002100640 is an apocalyptic number.

2002100640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100640 is an abundant number, since it is smaller than the sum of its proper divisors (4451248416).

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

2002100640 is a wasteful number, since it uses less digits than its factorization.

2002100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97062 (or 97054 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2002100640 is about 44744.8392554940. The cubic root of 2002100640 is about 1260.3620023095.

Adding to 2002100640 its reverse (460012002), we get a palindrome (2462112642).

The spelling of 2002100640 in words is "two billion, two million, one hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 97001 194002 291003 388004 485005 582006 776008 970010 1164012 1455015 1552016 1940020 2328024 2910030 3104032 3880040 4171043 4656048 5820060 7760080 8342086 9312096 11640120 12513129 15520160 16684172 20855215 23280240 25026258 33368344 41710430 46560480 50052516 62565645 66736688 83420860 100105032 125131290 133473376 166841720 200210064 250262580 333683440 400420128 500525160 667366880 1001050320 2002100640