Search a number
-
+
206346540 = 223531110939
BaseRepresentation
bin11000100110010…
…01100100101100
3112101021111020110
430103021210230
5410311042130
632250420020
75053626261
oct1423114454
9471244213
10206346540
11a6528234
1259131610
1333999c5a
141d595268
15131aeab0
hexc4c992c

206346540 has 48 divisors (see below), whose sum is σ = 596413440. Its totient is φ = 53250240.

The previous prime is 206346487. The next prime is 206346557. The reversal of 206346540 is 45643602.

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 = 206346498 and 206346507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53610 + ... + 57329.

It is an arithmetic number, because the mean of its divisors is an integer number (12425280).

Almost surely, 2206346540 is an apocalyptic number.

206346540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206346540 is an abundant number, since it is smaller than the sum of its proper divisors (390066900).

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

206346540 is a wasteful number, since it uses less digits than its factorization.

206346540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110982 (or 110980 counting only the distinct ones).

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

The square root of 206346540 is about 14364.7673145095. The cubic root of 206346540 is about 590.9250451063.

The spelling of 206346540 in words is "two hundred six million, three hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 110939 221878 332817 443756 554695 665634 1109390 1331268 1664085 2218780 3328170 3439109 6656340 6878218 10317327 13756436 17195545 20634654 34391090 41269308 51586635 68782180 103173270 206346540