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12164320 = 255710861
BaseRepresentation
bin101110011001…
…110011100000
3211220000022101
4232121303200
511103224240
61112420144
7205252330
oct56316340
924800271
1012164320
116959263
1240a7654
13269ba2c
1418890c0
15110439a
hexb99ce0

12164320 has 48 divisors (see below), whose sum is σ = 32846688. Its totient is φ = 4170240.

The previous prime is 12164287. The next prime is 12164329. The reversal of 12164320 is 2346121.

12164320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164329) 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, 4311 + ... + 6550.

It is an arithmetic number, because the mean of its divisors is an integer number (684306).

Almost surely, 212164320 is an apocalyptic number.

12164320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164320 is an abundant number, since it is smaller than the sum of its proper divisors (20682368).

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

12164320 is a wasteful number, since it uses less digits than its factorization.

12164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12164320 is about 3487.7385223093. The cubic root of 12164320 is about 229.9831115514.

The spelling of 12164320 in words is "twelve million, one hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10861 21722 43444 54305 76027 86888 108610 152054 173776 217220 304108 347552 380135 434440 608216 760270 868880 1216432 1520540 1737760 2432864 3041080 6082160 12164320