Search a number
-
+
14406840 = 2332575717
BaseRepresentation
bin110110111101…
…010010111000
31000002221110200
4312331102320
512142004330
61232442200
7233312310
oct66752270
930087420
1014406840
118150088
1249a9360
132ca5676
141cb0440
1513e8a60
hexdbd4b8

14406840 has 96 divisors (see below), whose sum is σ = 53520480. Its totient is φ = 3292416.

The previous prime is 14406829. The next prime is 14406841. The reversal of 14406840 is 4860441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14406841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (557505).

Almost surely, 214406840 is an apocalyptic number.

14406840 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 14406840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26760240).

14406840 is an abundant number, since it is smaller than the sum of its proper divisors (39113640).

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

14406840 is a wasteful number, since it uses less digits than its factorization.

14406840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14406840 is about 3795.6343343373. The cubic root of 14406840 is about 243.3265943381.

The spelling of 14406840 in words is "fourteen million, four hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5717 11434 17151 22868 28585 34302 40019 45736 51453 57170 68604 80038 85755 102906 114340 120057 137208 160076 171510 200095 205812 228680 240114 257265 320152 343020 360171 400190 411624 480228 514530 600285 686040 720342 800380 960456 1029060 1200570 1440684 1600760 1800855 2058120 2401140 2881368 3601710 4802280 7203420 14406840