Search a number
-
+
13297512 = 2333161293
BaseRepresentation
bin110010101110…
…011101101000
3221000120202110
4302232131220
511401010022
61153002320
7221012154
oct62563550
927016673
1013297512
117562688
1245533a0
1329a7767
141aa2064
15127a00c
hexcae768

13297512 has 64 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 4204800.

The previous prime is 13297499. The next prime is 13297523. The reversal of 13297512 is 21579231.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13297512.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45238 + ... + 45530.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 213297512 is an apocalyptic number.

13297512 is a gapful number since it is divisible by the number (12) 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 13297512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13297512 is an abundant number, since it is smaller than the sum of its proper divisors (21700248).

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

13297512 is a wasteful number, since it uses less digits than its factorization.

13297512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 13297512 is about 3646.5753797227. The cubic root of 13297512 is about 236.9136754100.

The spelling of 13297512 in words is "thirteen million, two hundred ninety-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 293 366 372 488 586 732 744 879 1172 1464 1758 1891 2344 3516 3782 5673 7032 7564 9083 11346 15128 17873 18166 22692 27249 35746 36332 45384 53619 54498 71492 72664 107238 108996 142984 214476 217992 428952 554063 1108126 1662189 2216252 3324378 4432504 6648756 13297512