Search a number
-
+
13297122 = 234791039
BaseRepresentation
bin110010101110…
…010111100010
3221000120020000
4302232113202
511401001442
61153000430
7221011056
oct62562742
927016200
1013297122
117562363
124553116
1329a7527
141aa1c66
151279d4c
hexcae5e2

13297122 has 40 divisors (see below), whose sum is σ = 30201600. Its totient is φ = 4372056.

The previous prime is 13297103. The next prime is 13297129. The reversal of 13297122 is 22179231.

It is a super-3 number, since 3×132971223 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13297129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12279 + ... + 13317.

It is an arithmetic number, because the mean of its divisors is an integer number (755040).

Almost surely, 213297122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13297122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100800).

13297122 is an abundant number, since it is smaller than the sum of its proper divisors (16904478).

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

13297122 is a wasteful number, since it uses less digits than its factorization.

13297122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13297122 is about 3646.5219045002. The cubic root of 13297122 is about 236.9113592565.

The spelling of 13297122 in words is "thirteen million, two hundred ninety-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1039 1422 2078 2133 3117 4266 6234 6399 9351 12798 18702 28053 56106 82081 84159 164162 168318 246243 492486 738729 1477458 2216187 4432374 6648561 13297122