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12066292 = 2271937613
BaseRepresentation
bin101110000001…
…110111110100
3211201000211201
4232001313310
511042110132
61110342244
7204363460
oct56016764
924630751
1012066292
1168a1647
12405a984
132666224
1418614a0
1510d52e7
hexb81df4

12066292 has 48 divisors (see below), whose sum is σ = 26131840. Its totient is φ = 4758912.

The previous prime is 12066289. The next prime is 12066293. The reversal of 12066292 is 29266021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12066292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19378 + ... + 19990.

Almost surely, 212066292 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 12066292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065920).

12066292 is an abundant number, since it is smaller than the sum of its proper divisors (14065548).

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

12066292 is a wasteful number, since it uses less digits than its factorization.

12066292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12066292 is about 3473.6568627313. The cubic root of 12066292 is about 229.3636600947.

The spelling of 12066292 in words is "twelve million, sixty-six thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 518 532 613 703 1036 1226 1406 2452 2812 4291 4921 8582 9842 11647 17164 19684 22681 23294 45362 46588 81529 90724 158767 163058 317534 326116 430939 635068 861878 1723756 3016573 6033146 12066292