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12066192 = 2433173153
BaseRepresentation
bin101110000001…
…110110010000
3211201000201000
4232001312100
511042104232
61110342000
7204363255
oct56016620
924630630
1012066192
1168a1566
12405a900
132666178
14186142c
1510d527c
hexb81d90

12066192 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3594240.

The previous prime is 12066179. The next prime is 12066193. The reversal of 12066192 is 29166021.

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 (12066193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227638 + ... + 227690.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 212066192 is an apocalyptic number.

12066192 is a gapful number since it is divisible by the number (12) 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 12066192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12066192 is an abundant number, since it is smaller than the sum of its proper divisors (26502768).

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

12066192 is a wasteful number, since it uses less digits than its factorization.

12066192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12066192 is about 3473.6424686487. The cubic root of 12066192 is about 229.3630264720.

The spelling of 12066192 in words is "twelve million, sixty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 53 54 62 68 72 93 102 106 108 124 136 144 153 159 186 204 212 216 248 272 279 306 318 372 408 424 432 459 477 496 527 558 612 636 744 816 837 848 901 918 954 1054 1116 1224 1272 1431 1488 1581 1643 1674 1802 1836 1908 2108 2232 2448 2544 2703 2862 3162 3286 3348 3604 3672 3816 4216 4464 4743 4929 5406 5724 6324 6572 6696 7208 7344 7632 8109 8432 9486 9858 10812 11448 12648 13144 13392 14229 14416 14787 16218 18972 19716 21624 22896 24327 25296 26288 27931 28458 29574 32436 37944 39432 43248 44361 48654 55862 56916 59148 64872 75888 78864 83793 88722 97308 111724 113832 118296 129744 167586 177444 194616 223448 227664 236592 251379 335172 354888 389232 446896 502758 670344 709776 754137 1005516 1340688 1508274 2011032 3016548 4022064 6033096 12066192