Search a number
-
+
2140023400 = 235253201889
BaseRepresentation
bin111111110001110…
…0010101001101000
312112010211110012221
41333203202221220
513340321222100
6552204043424
7104013620164
oct17743425150
95463743187
102140023400
119a8a95289
124b8833574
13281492248
14164307ca4
15c7d2101a
hex7f8e2a68

2140023400 has 48 divisors (see below), whose sum is σ = 5069457900. Its totient is φ = 839854080.

The previous prime is 2140023367. The next prime is 2140023407. The reversal of 2140023400 is 43200412.

It can be written as a sum of positive squares in 6 ways, for example, as 1271778244 + 868245156 = 35662^2 + 29466^2 .

It is not an unprimeable number, because it can be changed into a prime (2140023407) 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, 90345 + ... + 111544.

Almost surely, 22140023400 is an apocalyptic number.

2140023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140023400 is an abundant number, since it is smaller than the sum of its proper divisors (2929434500).

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

2140023400 is a wasteful number, since it uses less digits than its factorization.

2140023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201958 (or 201949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2140023400 is about 46260.3869417453. The cubic root of 2140023400 is about 1288.6634395054.

Adding to 2140023400 its reverse (43200412), we get a palindrome (2183223812).

The spelling of 2140023400 in words is "two billion, one hundred forty million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 201889 403778 807556 1009445 1615112 2018890 4037780 5047225 8075560 10094450 10700117 20188900 21400234 40377800 42800468 53500585 85600936 107001170 214002340 267502925 428004680 535005850 1070011700 2140023400