Search a number
-
+
206953136 = 24133726891
BaseRepresentation
bin11000101010111…
…01101010110000
3112102102022022222
430111131222300
5410440000021
632311420212
75062033625
oct1425355260
9472368288
10206953136
11a6901a55
1259384668
1333b500a0
141d6b234c
151327e6ab
hexc55dab0

206953136 has 40 divisors (see below), whose sum is σ = 443502864. Its totient is φ = 92931840.

The previous prime is 206953093. The next prime is 206953139. The reversal of 206953136 is 631359602.

206953136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206953096 and 206953105.

It is not an unprimeable number, because it can be changed into a prime (206953139) 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, 5750 + ... + 21141.

Almost surely, 2206953136 is an apocalyptic number.

206953136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

206953136 is an abundant number, since it is smaller than the sum of its proper divisors (236549728).

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

206953136 is a wasteful number, since it uses less digits than its factorization.

206953136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26949 (or 26943 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 206953136 is about 14385.8658411651. The cubic root of 206953136 is about 591.5035251943.

The spelling of 206953136 in words is "two hundred six million, nine hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 26891 53782 107564 215128 349583 430256 699166 994967 1398332 1989934 2796664 3979868 5593328 7959736 12934571 15919472 25869142 51738284 103476568 206953136