Search a number
-
+
14840240 = 2451031801
BaseRepresentation
bin111000100111…
…000110110000
31000220221222112
4320213012300
512244341430
61250024452
7240066002
oct70470660
930827875
1014840240
118416768
124b78128
1330c7a0c
141d84372
151482195
hexe271b0

14840240 has 40 divisors (see below), whose sum is σ = 34857888. Its totient is φ = 5875200.

The previous prime is 14840191. The next prime is 14840249. The reversal of 14840240 is 4204841.

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

It is not an unprimeable number, because it can be changed into a prime (14840249) by changing a digit.

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, 7340 + ... + 9140.

Almost surely, 214840240 is an apocalyptic number.

14840240 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 14840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428944).

14840240 is an abundant number, since it is smaller than the sum of its proper divisors (20017648).

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

14840240 is a wasteful number, since it uses less digits than its factorization.

14840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 14840240 is about 3852.3032071736. The cubic root of 14840240 is about 245.7425203847.

The spelling of 14840240 in words is "fourteen million, eight hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 1801 2060 3602 4120 7204 8240 9005 14408 18010 28816 36020 72040 144080 185503 371006 742012 927515 1484024 1855030 2968048 3710060 7420120 14840240