Search a number
-
+
12064680 = 2333511171
BaseRepresentation
bin101110000001…
…011110101000
3211200221122000
4232001132220
511042032210
61110331000
7204355665
oct56013650
924627560
1012064680
1168a0411
124059a60
132665584
141860a6c
1510d4ac0
hexb817a8

12064680 has 64 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 3216960.

The previous prime is 12064669. The next prime is 12064681. The reversal of 12064680 is 8646021.

12064680 is a `hidden beast` number, since 12 + 0 + 646 + 8 + 0 = 666.

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 (12064681) 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 15 ways as a sum of consecutive naturals, for example, 4506 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 212064680 is an apocalyptic number.

12064680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12064680 is an abundant number, since it is smaller than the sum of its proper divisors (28154520).

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

12064680 is a wasteful number, since it uses less digits than its factorization.

12064680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12064680 is about 3473.4248228514. The cubic root of 12064680 is about 229.3534456702.

It can be divided in two parts, 1206 and 4680, that added together give a triangular number (5886 = T108).

The spelling of 12064680 in words is "twelve million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11171 22342 33513 44684 55855 67026 89368 100539 111710 134052 167565 201078 223420 268104 301617 335130 402156 446840 502695 603234 670260 804312 1005390 1206468 1340520 1508085 2010780 2412936 3016170 4021560 6032340 12064680