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12001940 = 2252920693
BaseRepresentation
bin101101110010…
…001010010100
3211120202120022
4231302022110
511033030230
61105124312
7204005036
oct55621224
924522508
1012001940
116858265
124029698
132642b52
141845c56
1510c11e5
hexb72294

12001940 has 24 divisors (see below), whose sum is σ = 26074440. Its totient is φ = 4635008.

The previous prime is 12001921. The next prime is 12001943. The reversal of 12001940 is 4910021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3452164 + 8549776 = 1858^2 + 2924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001943) 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, 9767 + ... + 10926.

It is an arithmetic number, because the mean of its divisors is an integer number (1086435).

Almost surely, 212001940 is an apocalyptic number.

12001940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001940 is an abundant number, since it is smaller than the sum of its proper divisors (14072500).

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

12001940 is a wasteful number, since it uses less digits than its factorization.

12001940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20731 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12001940 is about 3464.3816187020. The cubic root of 12001940 is about 228.9551853216.

Adding to 12001940 its reverse (4910021), we get a palindrome (16911961).

The spelling of 12001940 in words is "twelve million, one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 20693 41386 82772 103465 206930 413860 600097 1200194 2400388 3000485 6000970 12001940