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12234720 = 253571359
BaseRepresentation
bin101110101010…
…111111100000
3212000120212210
4232222333200
511113002340
61114122120
7205664511
oct56527740
925016783
1012234720
1169a7143
124120340
1326c4aa4
1418a6a08
15111a180
hexbaafe0

12234720 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3207680.

The previous prime is 12234697. The next prime is 12234757. The reversal of 12234720 is 2743221.

It is a tau number, because it is divible by the number of its divisors (96).

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, 33901 + ... + 34259.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 212234720 is an apocalyptic number.

12234720 is a gapful number since it is divisible by the number (10) 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 12234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12234720 is an abundant number, since it is smaller than the sum of its proper divisors (26956320).

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

12234720 is a wasteful number, since it uses less digits than its factorization.

12234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12234720 is about 3497.8164617372. The cubic root of 12234720 is about 230.4259278306.

Adding to 12234720 its reverse (2743221), we get a palindrome (14977941).

The spelling of 12234720 in words is "twelve million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 359 426 480 568 710 718 852 1065 1077 1136 1420 1436 1704 1795 2130 2154 2272 2840 2872 3408 3590 4260 4308 5385 5680 5744 6816 7180 8520 8616 10770 11360 11488 14360 17040 17232 21540 25489 28720 34080 34464 43080 50978 57440 76467 86160 101956 127445 152934 172320 203912 254890 305868 382335 407824 509780 611736 764670 815648 1019560 1223472 1529340 2039120 2446944 3058680 4078240 6117360 12234720