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12263040 = 273252129
BaseRepresentation
bin101110110001…
…111010000000
3212002000201200
4232301322000
511114404130
61114501200
7206143206
oct56617200
925060650
1012263040
116a16449
124134800
13270494a
1418b3076
151123760
hexbb1e80

12263040 has 96 divisors (see below), whose sum is σ = 42365700. Its totient is φ = 3268608.

The previous prime is 12263039. The next prime is 12263057. The reversal of 12263040 is 4036221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 484416 = 3432^2 + 696^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4696 + ... + 6824.

Almost surely, 212263040 is an apocalyptic number.

12263040 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 12263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182850).

12263040 is an abundant number, since it is smaller than the sum of its proper divisors (30102660).

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

12263040 is a wasteful number, since it uses less digits than its factorization.

12263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12263040 is about 3501.8623616584. The cubic root of 12263040 is about 230.6035816362.

Adding to 12263040 its reverse (4036221), we get a palindrome (16299261).

The spelling of 12263040 in words is "twelve million, two hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2129 2880 4258 5760 6387 8516 10645 12774 17032 19161 21290 25548 31935 34064 38322 42580 51096 63870 68128 76644 85160 95805 102192 127740 136256 153288 170320 191610 204384 255480 272512 306576 340640 383220 408768 510960 613152 681280 766440 817536 1021920 1226304 1362560 1532880 2043840 2452608 3065760 4087680 6131520 12263040