Search a number
-
+
205463640 = 23351712197
BaseRepresentation
bin11000011111100…
…10000001011000
3112022121122010110
430033302001120
5410044314030
632215444320
75043261234
oct1417620130
9468548113
10205463640
11a5a84968
12589866a0
133374b125
141d4055c4
15130881b0
hexc3f2058

205463640 has 32 divisors (see below), whose sum is σ = 616391280. Its totient is φ = 54790272.

The previous prime is 205463639. The next prime is 205463641. The reversal of 205463640 is 46364502.

It is an interprime number because it is at equal distance from previous prime (205463639) and next prime (205463641).

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

It is a junction number, because it is equal to n+sod(n) for n = 205463598 and 205463607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205463641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855979 + ... + 856218.

Almost surely, 2205463640 is an apocalyptic number.

205463640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205463640 is an abundant number, since it is smaller than the sum of its proper divisors (410927640).

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

205463640 is a wasteful number, since it uses less digits than its factorization.

205463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712211 (or 1712207 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 205463640 is about 14334.0029300960. The cubic root of 205463640 is about 590.0810383755.

The spelling of 205463640 in words is "two hundred five million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1712197 3424394 5136591 6848788 8560985 10273182 13697576 17121970 20546364 25682955 34243940 41092728 51365910 68487880 102731820 205463640