Search a number
-
+
269901216 = 25321372089
BaseRepresentation
bin10000000101100…
…101110110100000
3200210212101212100
4100011211312200
51023043314331
642440530400
76455060004
oct2005456640
9623771770
10269901216
11129396862
1276480a00
1343bbcb80
1427bba704
1518a65ae6
hex10165da0

269901216 has 72 divisors (see below), whose sum is σ = 826583940. Its totient is φ = 83045376.

The previous prime is 269901211. The next prime is 269901217. The reversal of 269901216 is 612109962.

269901216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 269091216 + 810000 = 16404^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (269901211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32301 + ... + 39788.

Almost surely, 2269901216 is an apocalyptic number.

269901216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

269901216 is an abundant number, since it is smaller than the sum of its proper divisors (556682724).

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

269901216 is a wasteful number, since it uses less digits than its factorization.

269901216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72118 (or 72107 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 269901216 is about 16428.6705487693. The cubic root of 269901216 is about 646.2515738108.

The spelling of 269901216 in words is "two hundred sixty-nine million, nine hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 72089 144178 216267 288356 432534 576712 648801 865068 937157 1153424 1297602 1730136 1874314 2306848 2595204 2811471 3460272 3748628 5190408 5622942 6920544 7497256 8434413 10380816 11245884 14994512 16868826 20761632 22491768 29989024 33737652 44983536 67475304 89967072 134950608 269901216