Search a number
-
+
206831520 = 25325717271
BaseRepresentation
bin11000101001111…
…11111110100000
3112102012010111200
430110333332200
5410422102040
632305041200
75061016230
oct1424777640
9472163450
10206831520
11a6829645
1259326200
1333b0991c
141d67dcc0
1513258630
hexc53ffa0

206831520 has 432 divisors, whose sum is σ = 868952448. Its totient is φ = 43868160.

The previous prime is 206831507. The next prime is 206831531. The reversal of 206831520 is 25138602.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2913085 + ... + 2913155.

It is an arithmetic number, because the mean of its divisors is an integer number (2011464).

Almost surely, 2206831520 is an apocalyptic number.

206831520 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 206831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434476224).

206831520 is an abundant number, since it is smaller than the sum of its proper divisors (662120928).

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

206831520 is a wasteful number, since it uses less digits than its factorization.

206831520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 206831520 is about 14381.6382933239. The cubic root of 206831520 is about 591.3876368184.

The spelling of 206831520 in words is "two hundred six million, eight hundred thirty-one thousand, five hundred twenty".