Search a number
-
+
12066420 = 2235201107
BaseRepresentation
bin101110000001…
…111001110100
3211201001000110
4232001321310
511042111140
61110343020
7204364032
oct56017164
924631013
1012066420
1168a1753
12405aa70
1326662c2
141861552
1510d5380
hexb81e74

12066420 has 24 divisors (see below), whose sum is σ = 33786144. Its totient is φ = 3217696.

The previous prime is 12066419. The next prime is 12066427. The reversal of 12066420 is 2466021.

It is a happy number.

12066420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100494 + ... + 100613.

It is an arithmetic number, because the mean of its divisors is an integer number (1407756).

Almost surely, 212066420 is an apocalyptic number.

12066420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12066420 is an abundant number, since it is smaller than the sum of its proper divisors (21719724).

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

12066420 is a wasteful number, since it uses less digits than its factorization.

12066420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201119 (or 201117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12066420 is about 3473.6752870699. The cubic root of 12066420 is about 229.3644711266.

It can be divided in two parts, 1206 and 6420, that added together give a triangular number (7626 = T123).

The spelling of 12066420 in words is "twelve million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 201107 402214 603321 804428 1005535 1206642 2011070 2413284 3016605 4022140 6033210 12066420