Search a number
-
+
200006640 = 24325277787
BaseRepresentation
bin10111110101111…
…01101111110000
3111221100101112100
423322331233300
5402200203030
631502500400
74646012511
oct1372755760
9457311470
10200006640
11a2997a49
1256b94700
133258a332
141c7c4a08
151285b360
hexbebdbf0

200006640 has 60 divisors (see below), whose sum is σ = 671691384. Its totient is φ = 53334912.

The previous prime is 200006627. The next prime is 200006713. The reversal of 200006640 is 46600002.

200006640 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 664 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138174 + ... + 139613.

Almost surely, 2200006640 is an apocalyptic number.

200006640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200006640 is an abundant number, since it is smaller than the sum of its proper divisors (471684744).

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

200006640 is a wasteful number, since it uses less digits than its factorization.

200006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277806 (or 277797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 200006640 is about 14142.3703812338. The cubic root of 200006640 is about 584.8100193969.

Adding to 200006640 its reverse (46600002), we get a palindrome (246606642).

The spelling of 200006640 in words is "two hundred million, six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 277787 555574 833361 1111148 1388935 1666722 2222296 2500083 2777870 3333444 4166805 4444592 5000166 5555740 6666888 8333610 10000332 11111480 12500415 13333776 16667220 20000664 22222960 25000830 33334440 40001328 50001660 66668880 100003320 200006640