Search a number
-
+
209315120 = 2457373777
BaseRepresentation
bin11000111100111…
…10010100110000
3112120212022100212
430132132110300
5412041040440
632434203252
75121102110
oct1436362460
9476768325
10209315120
11a8175603
125a123528
1334499201
141db29040
1513599465
hexc79e530

209315120 has 40 divisors (see below), whose sum is σ = 556181664. Its totient is φ = 71764992.

The previous prime is 209315089. The next prime is 209315123. The reversal of 209315120 is 21513902.

209315120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2093151202 = 87625638921228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209315123) 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, 186329 + ... + 187448.

Almost surely, 2209315120 is an apocalyptic number.

209315120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209315120 is an abundant number, since it is smaller than the sum of its proper divisors (346866544).

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

209315120 is a wasteful number, since it uses less digits than its factorization.

209315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373797 (or 373791 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 209315120 is about 14467.7268428734. The cubic root of 209315120 is about 593.7453211820.

The spelling of 209315120 in words is "two hundred nine million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 373777 747554 1495108 1868885 2616439 2990216 3737770 5232878 5980432 7475540 10465756 13082195 14951080 20931512 26164390 29902160 41863024 52328780 104657560 209315120