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12096240 = 2435133877
BaseRepresentation
bin101110001001…
…001011110000
3211202112220220
4232021023300
511044034430
61111133040
7204550002
oct56111360
924675826
1012096240
1169120a2
124074180
132676a50
14186c372
1510de110
hexb892f0

12096240 has 80 divisors (see below), whose sum is σ = 40393248. Its totient is φ = 2976768.

The previous prime is 12096223. The next prime is 12096241. The reversal of 12096240 is 4269021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12096240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12096241) 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 15 ways as a sum of consecutive naturals, for example, 1182 + ... + 5058.

Almost surely, 212096240 is an apocalyptic number.

12096240 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 12096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196624).

12096240 is an abundant number, since it is smaller than the sum of its proper divisors (28297008).

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

12096240 is a wasteful number, since it uses less digits than its factorization.

12096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12096240 is about 3477.9649221923. The cubic root of 12096240 is about 229.5532601220.

The spelling of 12096240 in words is "twelve million, ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3877 7754 11631 15508 19385 23262 31016 38770 46524 50401 58155 62032 77540 93048 100802 116310 151203 155080 186096 201604 232620 252005 302406 310160 403208 465240 504010 604812 756015 806416 930480 1008020 1209624 1512030 2016040 2419248 3024060 4032080 6048120 12096240