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14431640 = 23517191117
BaseRepresentation
bin110111000011…
…010110011000
31000011012111012
4313003112120
512143303030
61233153052
7233444516
oct67032630
930135435
1014431640
118167783
1249bb788
132cb3a42
141cb94b6
151401095
hexdc3598

14431640 has 64 divisors (see below), whose sum is σ = 36223200. Its totient is φ = 5142528.

The previous prime is 14431633. The next prime is 14431643. The reversal of 14431640 is 4613441.

14431640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12362 + ... + 13478.

Almost surely, 214431640 is an apocalyptic number.

14431640 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 14431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111600).

14431640 is an abundant number, since it is smaller than the sum of its proper divisors (21791560).

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

14431640 is a wasteful number, since it uses less digits than its factorization.

14431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 14431640 is about 3798.8998407434. The cubic root of 14431640 is about 243.4661354691.

The spelling of 14431640 in words is "fourteen million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1117 1292 1615 2234 2584 3230 4468 5585 6460 8936 11170 12920 18989 21223 22340 37978 42446 44680 75956 84892 94945 106115 151912 169784 189890 212230 360791 379780 424460 721582 759560 848920 1443164 1803955 2886328 3607910 7215820 14431640