Search a number
-
+
12282240 = 27356397
BaseRepresentation
bin101110110110…
…100110000000
3212010000001210
4232312212000
511121012430
61115130120
7206253165
oct56664600
925100053
1012282240
116a29913
124143940
1327105c9
1418ba06c
1511292b0
hexbb6980

12282240 has 64 divisors (see below), whose sum is σ = 39155760. Its totient is φ = 3274752.

The previous prime is 12282233. The next prime is 12282241. The reversal of 12282240 is 4228221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12282241) 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 7 ways as a sum of consecutive naturals, for example, 1279 + ... + 5118.

Almost surely, 212282240 is an apocalyptic number.

12282240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12282240 is an abundant number, since it is smaller than the sum of its proper divisors (26873520).

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

12282240 is an equidigital number, since it uses as much as digits as its factorization.

12282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12282240 is about 3504.6026878949. The cubic root of 12282240 is about 230.7238693747.

The spelling of 12282240 in words is "twelve million, two hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6397 12794 19191 25588 31985 38382 51176 63970 76764 95955 102352 127940 153528 191910 204704 255880 307056 383820 409408 511760 614112 767640 818816 1023520 1228224 1535280 2047040 2456448 3070560 4094080 6141120 12282240