Search a number
-
+
12640104 = 2333139421
BaseRepresentation
bin110000001101…
…111101101000
3212210011222000
4300031331220
511213440404
61130531000
7212303421
oct60157550
925704860
1012640104
117153774
124296a60
132807469
141970648
15119a339
hexc0df68

12640104 has 64 divisors (see below), whose sum is σ = 35448000. Its totient is φ = 4173120.

The previous prime is 12640099. The next prime is 12640123. The reversal of 12640104 is 40104621.

12640104 is a `hidden beast` number, since 12 + 640 + 10 + 4 = 666.

12640104 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29814 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (553875).

Almost surely, 212640104 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 12640104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724000).

12640104 is an abundant number, since it is smaller than the sum of its proper divisors (22807896).

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

12640104 is a wasteful number, since it uses less digits than its factorization.

12640104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12640104 is about 3555.2923930389. The cubic root of 12640104 is about 232.9432957729.

Adding to 12640104 its reverse (40104621), we get a palindrome (52744725).

The spelling of 12640104 in words is "twelve million, six hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 421 556 834 842 1112 1251 1263 1668 1684 2502 2526 3336 3368 3753 3789 5004 5052 7506 7578 10008 10104 11367 15012 15156 22734 30024 30312 45468 58519 90936 117038 175557 234076 351114 468152 526671 702228 1053342 1404456 1580013 2106684 3160026 4213368 6320052 12640104