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12431104 = 2872991
BaseRepresentation
bin101111011010…
…111100000000
3212101120021021
4233122330000
511140243404
61122235224
7210443200
oct57327400
925346237
1012431104
117020744
1241b5b14
1327632aa
141918400
151158454
hexbdaf00

12431104 has 54 divisors (see below), whose sum is σ = 28893984. Its totient is φ = 5322240.

The previous prime is 12431099. The next prime is 12431117. The reversal of 12431104 is 40113421.

12431104 is nontrivially palindromic in base 12.

12431104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12049 + ... + 13039.

Almost surely, 212431104 is an apocalyptic number.

12431104 is a gapful number since it is divisible by the number (14) 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 12431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446992).

12431104 is an abundant number, since it is smaller than the sum of its proper divisors (16462880).

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

12431104 is an frugal number, since it uses more digits than its factorization.

12431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12431104 is about 3525.7770774682. Note that the first 3 decimals coincide. The cubic root of 12431104 is about 231.6522733727.

Adding to 12431104 its reverse (40113421), we get a palindrome (52544525).

The spelling of 12431104 in words is "twelve million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 991 1568 1792 1982 3136 3964 6272 6937 7928 12544 13874 15856 27748 31712 48559 55496 63424 97118 110992 126848 194236 221984 253696 388472 443968 776944 887936 1553888 1775872 3107776 6215552 12431104