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12241920 = 21035797
BaseRepresentation
bin101110101100…
…110000000000
3212000221202110
4232230300000
511113220140
61114215320
7206024505
oct56546000
925027673
1012241920
116a01599
124124540
1326c8152
1418a94ac
15111c380
hexbacc00

12241920 has 88 divisors (see below), whose sum is σ = 39204144. Its totient is φ = 3260416.

The previous prime is 12241913. The next prime is 12241927. The reversal of 12241920 is 2914221.

It is an interprime number because it is at equal distance from previous prime (12241913) and next prime (12241927).

It is not an unprimeable number, because it can be changed into a prime (12241927) 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, 14962 + ... + 15758.

Almost surely, 212241920 is an apocalyptic number.

12241920 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 12241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602072).

12241920 is an abundant number, since it is smaller than the sum of its proper divisors (26962224).

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

12241920 is an equidigital number, since it uses as much as digits as its factorization.

12241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12241920 is about 3498.8455238836. The cubic root of 12241920 is about 230.4711200197.

The spelling of 12241920 in words is "twelve million, two hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 797 960 1024 1280 1536 1594 1920 2391 2560 3072 3188 3840 3985 4782 5120 6376 7680 7970 9564 11955 12752 15360 15940 19128 23910 25504 31880 38256 47820 51008 63760 76512 95640 102016 127520 153024 191280 204032 255040 306048 382560 408064 510080 612096 765120 816128 1020160 1224192 1530240 2040320 2448384 3060480 4080640 6120960 12241920