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2002041400 = 235219526853
BaseRepresentation
bin111011101010100…
…1011101000111000
312011112012020111111
41313111023220320
513100010311100
6530354410104
7100420033252
oct16725135070
95145166444
102002041400
11938111377
1247a590934
1325ba105a8
1414dc6acd2
15bab676ba
hex7754ba38

2002041400 has 48 divisors (see below), whose sum is σ = 4899742200. Its totient is φ = 758666880.

The previous prime is 2002041359. The next prime is 2002041401. The reversal of 2002041400 is 41402002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002041401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259627 + ... + 267226.

Almost surely, 22002041400 is an apocalyptic number.

2002041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002041400 is an abundant number, since it is smaller than the sum of its proper divisors (2897700800).

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

2002041400 is a wasteful number, since it uses less digits than its factorization.

2002041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526888 (or 526879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2002041400 is about 44744.1772748142. The cubic root of 2002041400 is about 1260.3495712692.

Adding to 2002041400 its reverse (41402002), we get a palindrome (2043443402).

The spelling of 2002041400 in words is "two billion, two million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 526853 1053706 2107412 2634265 4214824 5268530 10010207 10537060 13171325 20020414 21074120 26342650 40040828 50051035 52685300 80081656 100102070 105370600 200204140 250255175 400408280 500510350 1001020700 2002041400