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14001460 = 22511312053
BaseRepresentation
bin110101011010…
…010100110100
3222100100101121
4311122110310
512041021320
61220033324
7230003404
oct65322464
928310347
1014001460
1179a3560
124832844
132b92cb5
141c06804
1513688aa
hexd5a534

14001460 has 48 divisors (see below), whose sum is σ = 33126912. Its totient is φ = 4924800.

The previous prime is 14001451. The next prime is 14001469. The reversal of 14001460 is 6410041.

It is a happy number.

14001460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14001451) and next prime (14001469).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001469) 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, 5794 + ... + 7846.

It is an arithmetic number, because the mean of its divisors is an integer number (690144).

Almost surely, 214001460 is an apocalyptic number.

14001460 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 14001460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563456).

14001460 is an abundant number, since it is smaller than the sum of its proper divisors (19125452).

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

14001460 is a wasteful number, since it uses less digits than its factorization.

14001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 14001460 is about 3741.8524823942. The cubic root of 14001460 is about 241.0226042399.

The spelling of 14001460 in words is "fourteen million, one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 2053 3410 4106 6820 8212 10265 20530 22583 41060 45166 63643 90332 112915 127286 225830 254572 318215 451660 636430 700073 1272860 1400146 2800292 3500365 7000730 14001460