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12142240 = 255116899
BaseRepresentation
bin101110010100…
…011010100000
3211211220000121
4232110122200
511102022430
61112130024
7205131055
oct56243240
924756017
1012142240
116943710
124096914
132691976
14188102c
1510eca7a
hexb946a0

12142240 has 48 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 4414720.

The previous prime is 12142237. The next prime is 12142261. The reversal of 12142240 is 4224121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1690 + ... + 5209.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 212142240 is an apocalyptic number.

12142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142240 is an abundant number, since it is smaller than the sum of its proper divisors (19156160).

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

12142240 is a wasteful number, since it uses less digits than its factorization.

12142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12142240 is about 3484.5717096940. The cubic root of 12142240 is about 229.8438764042.

Adding to 12142240 its reverse (4224121), we get a palindrome (16366361).

The spelling of 12142240 in words is "twelve million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6899 13798 27596 34495 55192 68990 75889 110384 137980 151778 220768 275960 303556 379445 551920 607112 758890 1103840 1214224 1517780 2428448 3035560 6071120 12142240