Search a number
-
+
205113280 = 2651993221
BaseRepresentation
bin11000011100111…
…00011111000000
3112021221211112011
430032130133000
5410002111110
632204142304
75040301621
oct1416343700
9467854464
10205113280
11a5865709
1258837994
1333657808
141d353a48
151301948a
hexc39c7c0

205113280 has 56 divisors (see below), whose sum is σ = 491032800. Its totient is φ = 81607680.

The previous prime is 205113269. The next prime is 205113281. The reversal of 205113280 is 82311502.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205113281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62070 + ... + 65290.

Almost surely, 2205113280 is an apocalyptic number.

205113280 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 205113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245516400).

205113280 is an abundant number, since it is smaller than the sum of its proper divisors (285919520).

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

205113280 is a wasteful number, since it uses less digits than its factorization.

205113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 205113280 is about 14321.7764261281. The cubic root of 205113280 is about 589.7454422303.

Adding to 205113280 its reverse (82311502), we get a palindrome (287424782).

The spelling of 205113280 in words is "two hundred five million, one hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 199 320 398 796 995 1592 1990 3184 3221 3980 6368 6442 7960 12736 12884 15920 16105 25768 31840 32210 51536 63680 64420 103072 128840 206144 257680 515360 640979 1030720 1281958 2563916 3204895 5127832 6409790 10255664 12819580 20511328 25639160 41022656 51278320 102556640 205113280