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12097280 = 28513727
BaseRepresentation
bin101110001001…
…011100000000
3211202121100102
4232021130000
511044103110
61111141532
7204553016
oct56113400
924677312
1012097280
116912958
1240748a8
132677370
14186c8b6
1510de5a5
hexb89700

12097280 has 72 divisors (see below), whose sum is σ = 31248672. Its totient is φ = 4460544.

The previous prime is 12097279. The next prime is 12097307. The reversal of 12097280 is 8279021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16277 + ... + 17003.

Almost surely, 212097280 is an apocalyptic number.

12097280 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 12097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624336).

12097280 is an abundant number, since it is smaller than the sum of its proper divisors (19151392).

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

12097280 is an equidigital number, since it uses as much as digits as its factorization.

12097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 12097280 is about 3478.1144317000. The cubic root of 12097280 is about 229.5598387103.

The spelling of 12097280 in words is "twelve million, ninety-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 727 832 1040 1280 1454 1664 2080 2908 3328 3635 4160 5816 7270 8320 9451 11632 14540 16640 18902 23264 29080 37804 46528 47255 58160 75608 93056 94510 116320 151216 186112 189020 232640 302432 378040 465280 604864 756080 930560 1209728 1512160 2419456 3024320 6048640 12097280