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12159440 = 245314903
BaseRepresentation
bin101110011000…
…100111010000
3211212202121122
4232120213100
511103100230
61112341412
7205232156
oct56304720
924782548
1012159440
116955627
1240a4868
132699747
1418873d6
151102be5
hexb989d0

12159440 has 40 divisors (see below), whose sum is σ = 29188608. Its totient is φ = 4705920.

The previous prime is 12159401. The next prime is 12159451. The reversal of 12159440 is 4495121.

Added to its reverse (4495121) it gives a square (16654561 = 40812).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×121594402 = 295703962227200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 29 + ... + 4931.

Almost surely, 212159440 is an apocalyptic number.

12159440 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 12159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594304).

12159440 is an abundant number, since it is smaller than the sum of its proper divisors (17029168).

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

12159440 is a wasteful number, since it uses less digits than its factorization.

12159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 12159440 is about 3487.0388584012. The cubic root of 12159440 is about 229.9523530791.

Adding to 12159440 its reverse (4495121), we get a square (16654561 = 40812).

The spelling of 12159440 in words is "twelve million, one hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4903 9806 19612 24515 39224 49030 78448 98060 151993 196120 303986 392240 607972 759965 1215944 1519930 2431888 3039860 6079720 12159440