Search a number
-
+
12115464 = 233191632
BaseRepresentation
bin101110001101…
…111000001000
3211210112021220
4232031320020
511100143324
61111402040
7204660024
oct56157010
924715256
1012115464
116925589
124083320
13268271a
141875384
1510e4b79
hexb8de08

12115464 has 48 divisors (see below), whose sum is σ = 32079600. Its totient is φ = 3802464.

The previous prime is 12115463. The next prime is 12115471. The reversal of 12115464 is 46451121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12115463) 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, 74247 + ... + 74409.

It is an arithmetic number, because the mean of its divisors is an integer number (668325).

Almost surely, 212115464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12115464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039800).

12115464 is an abundant number, since it is smaller than the sum of its proper divisors (19964136).

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

12115464 is a wasteful number, since it uses less digits than its factorization.

12115464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 187 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12115464 is about 3480.7275101622. The cubic root of 12115464 is about 229.6748019173.

Adding to 12115464 its reverse (46451121), we get a palindrome (58566585).

The spelling of 12115464 in words is "twelve million, one hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 652 978 1304 1956 3097 3912 6194 9291 12388 18582 24776 26569 37164 53138 74328 79707 106276 159414 212552 318828 504811 637656 1009622 1514433 2019244 3028866 4038488 6057732 12115464