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14002640 = 2451011733
BaseRepresentation
bin110101011010…
…100111010000
3222100102000022
4311122213100
512041041030
61220043012
7230010011
oct65324720
928312008
1014002640
1179a4433
124833468
132b936b2
141c07008
151368de5
hexd5a9d0

14002640 has 40 divisors (see below), whose sum is σ = 32897448. Its totient is φ = 5542400.

The previous prime is 14002631. The next prime is 14002643. The reversal of 14002640 is 4620041.

14002640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 9709456 = 2072^2 + 3116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7214 + ... + 8946.

Almost surely, 214002640 is an apocalyptic number.

14002640 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 14002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448724).

14002640 is an abundant number, since it is smaller than the sum of its proper divisors (18894808).

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

14002640 is a wasteful number, since it uses less digits than its factorization.

14002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14002640 is about 3742.0101549835. The cubic root of 14002640 is about 241.0293749310.

Adding to 14002640 its reverse (4620041), we get a palindrome (18622681).

The spelling of 14002640 in words is "fourteen million, two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 1733 2020 3466 4040 6932 8080 8665 13864 17330 27728 34660 69320 138640 175033 350066 700132 875165 1400264 1750330 2800528 3500660 7001320 14002640