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12072330 = 2325314327
BaseRepresentation
bin101110000011…
…010110001010
3211201100010100
4232003112022
511042303310
61110430230
7204420204
oct56032612
924640110
1012072330
1168a6136
124062376
132668bba
141863774
1510d6ec0
hexb8358a

12072330 has 48 divisors (see below), whose sum is σ = 32408064. Its totient is φ = 3114720.

The previous prime is 12072317. The next prime is 12072337. The reversal of 12072330 is 3327021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12072337) 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 23 ways as a sum of consecutive naturals, for example, 627 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (675168).

Almost surely, 212072330 is an apocalyptic number.

12072330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12072330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204032).

12072330 is an abundant number, since it is smaller than the sum of its proper divisors (20335734).

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

12072330 is a wasteful number, since it uses less digits than its factorization.

12072330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 12072330 is about 3474.5258669349. The cubic root of 12072330 is about 229.4019117476.

Adding to 12072330 its reverse (3327021), we get a palindrome (15399351).

The spelling of 12072330 in words is "twelve million, seventy-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 4327 8654 12981 21635 25962 38943 43270 64905 77886 129810 134137 194715 268274 389430 402411 670685 804822 1207233 1341370 2012055 2414466 4024110 6036165 12072330