Search a number
-
+
14355828 = 22322931361
BaseRepresentation
bin110110110000…
…110101110100
31000000100111100
4312300311310
512133341303
61231410100
7233010504
oct66606564
930010440
1014355828
118115823
124983930
132c88396
141c99a04
1513d88a3
hexdb0d74

14355828 has 36 divisors (see below), whose sum is σ = 36438948. Its totient is φ = 4765440.

The previous prime is 14355823. The next prime is 14355833. The reversal of 14355828 is 82855341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14355823) and next prime (14355833).

It can be written as a sum of positive squares in 2 ways, for example, as 8538084 + 5817744 = 2922^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14355792 and 14355801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14355823) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9868 + ... + 11228.

It is an arithmetic number, because the mean of its divisors is an integer number (1012193).

Almost surely, 214355828 is an apocalyptic number.

14355828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14355828 is an abundant number, since it is smaller than the sum of its proper divisors (22083120).

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

14355828 is a wasteful number, since it uses less digits than its factorization.

14355828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1659 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 14355828 is about 3788.9085499653. The cubic root of 14355828 is about 243.0390629678.

The spelling of 14355828 in words is "fourteen million, three hundred fifty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1361 1758 2637 2722 3516 4083 5274 5444 8166 10548 12249 16332 24498 48996 398773 797546 1196319 1595092 2392638 3588957 4785276 7177914 14355828