Search a number
-
+
14094840 = 2335731609
BaseRepresentation
bin110101110001…
…000111111000
3222112002111010
4311301013320
512102013330
61222033520
7230542554
oct65610770
928462433
1014094840
117a57731
1248788a0
132bc6656
141c2c864
1513863b0
hexd711f8

14094840 has 64 divisors (see below), whose sum is σ = 42890400. Its totient is φ = 3704832.

The previous prime is 14094833. The next prime is 14094859. The reversal of 14094840 is 4849041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14094798 and 14094807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7956 + ... + 9564.

Almost surely, 214094840 is an apocalyptic number.

14094840 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 14094840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445200).

14094840 is an abundant number, since it is smaller than the sum of its proper divisors (28795560).

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

14094840 is a wasteful number, since it uses less digits than its factorization.

14094840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14094840 is about 3754.3095237340. The cubic root of 14094840 is about 241.5572351687.

The spelling of 14094840 in words is "fourteen million, ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1609 1752 2190 2920 3218 4380 4827 6436 8045 8760 9654 12872 16090 19308 24135 32180 38616 48270 64360 96540 117457 193080 234914 352371 469828 587285 704742 939656 1174570 1409484 1761855 2349140 2818968 3523710 4698280 7047420 14094840