Search a number
-
+
205690260 = 223514292399
BaseRepresentation
bin11000100001010…
…01010110010100
3112100001010222210
430100221112110
5410124042020
632224353420
75045224026
oct1420512624
9470033883
10205690260
11a611a156
1258a75870
13337ca319
141d464016
15130d03e0
hexc429594

205690260 has 48 divisors (see below), whose sum is σ = 576576000. Its totient is φ = 54789504.

The previous prime is 205690241. The next prime is 205690267. The reversal of 205690260 is 62096502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205690267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84541 + ... + 86939.

It is an arithmetic number, because the mean of its divisors is an integer number (12012000).

Almost surely, 2205690260 is an apocalyptic number.

205690260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205690260 is an abundant number, since it is smaller than the sum of its proper divisors (370885740).

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

205690260 is a wasteful number, since it uses less digits than its factorization.

205690260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 205690260 is about 14341.9057311084. The cubic root of 205690260 is about 590.2979056688.

The spelling of 205690260 in words is "two hundred five million, six hundred ninety thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1429 2399 2858 4287 4798 5716 7145 7197 8574 9596 11995 14290 14394 17148 21435 23990 28580 28788 35985 42870 47980 71970 85740 143940 3428171 6856342 10284513 13712684 17140855 20569026 34281710 41138052 51422565 68563420 102845130 205690260