Search a number
-
+
203105820 = 22351929377
BaseRepresentation
bin11000001101100…
…10011000011100
3112011011211210210
430012302120130
5403443341240
632053132420
75014241151
oct1406623034
9464154723
10203105820
11a4714455
125802a110
1333103b78
141cd90228
1512c6e780
hexc1b261c

203105820 has 72 divisors (see below), whose sum is σ = 600267024. Its totient is φ = 51305472.

The previous prime is 203105809. The next prime is 203105843. The reversal of 203105820 is 28501302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16972 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (8337042).

Almost surely, 2203105820 is an apocalyptic number.

203105820 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 203105820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300133512).

203105820 is an abundant number, since it is smaller than the sum of its proper divisors (397161204).

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

203105820 is a wasteful number, since it uses less digits than its factorization.

203105820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 203105820 is about 14251.5199189420. The cubic root of 203105820 is about 587.8151693584.

The spelling of 203105820 in words is "two hundred three million, one hundred five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 9377 10830 18754 21660 28131 37508 46885 56262 93770 112524 140655 178163 187540 281310 356326 534489 562620 712652 890815 1068978 1781630 2137956 2672445 3385097 3563260 5344890 6770194 10155291 10689780 13540388 16925485 20310582 33850970 40621164 50776455 67701940 101552910 203105820