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12014040 = 2335531889
BaseRepresentation
bin101101110101…
…000111011000
3211121101011110
4231311013120
511033422130
61105300320
7204055233
oct55650730
924541143
1012014040
116866365
1240346a0
1326484cc
14184a41a
1510c4ab0
hexb751d8

12014040 has 64 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 3141632.

The previous prime is 12014039. The next prime is 12014059. The reversal of 12014040 is 4041021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5416 + ... + 7304.

Almost surely, 212014040 is an apocalyptic number.

12014040 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 12014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800).

12014040 is an abundant number, since it is smaller than the sum of its proper divisors (24727560).

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

12014040 is a wasteful number, since it uses less digits than its factorization.

12014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12014040 is about 3466.1275221780. The cubic root of 12014040 is about 229.0321014220.

Adding to 12014040 its reverse (4041021), we get a palindrome (16055061).

The spelling of 12014040 in words is "twelve million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 1889 2120 3180 3778 5667 6360 7556 9445 11334 15112 18890 22668 28335 37780 45336 56670 75560 100117 113340 200234 226680 300351 400468 500585 600702 800936 1001170 1201404 1501755 2002340 2402808 3003510 4004680 6007020 12014040