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12069432 = 233371787
BaseRepresentation
bin101110000010…
…101000111000
3211201012011000
4232002220320
511042210212
61110405000
7204405564
oct56025070
924635130
1012069432
1168a3a41
124060760
13266779b
1418626a4
1510d61dc
hexb82a38

12069432 has 64 divisors (see below), whose sum is σ = 34041600. Its totient is φ = 3961440.

The previous prime is 12069413. The next prime is 12069443. The reversal of 12069432 is 23496021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 12069396 and 12069405.

It is a congruent number.

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, 14943 + ... + 15729.

It is an arithmetic number, because the mean of its divisors is an integer number (531900).

Almost surely, 212069432 is an apocalyptic number.

12069432 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 12069432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020800).

12069432 is an abundant number, since it is smaller than the sum of its proper divisors (21972168).

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

12069432 is a wasteful number, since it uses less digits than its factorization.

12069432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12069432 is about 3474.1088065862. The cubic root of 12069432 is about 229.3835540668.

The spelling of 12069432 in words is "twelve million, sixty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 787 852 1278 1574 1704 1917 2361 2556 3148 3834 4722 5112 6296 7083 7668 9444 14166 15336 18888 21249 28332 42498 55877 56664 84996 111754 167631 169992 223508 335262 447016 502893 670524 1005786 1341048 1508679 2011572 3017358 4023144 6034716 12069432