Search a number
-
+
14819072 = 28107541
BaseRepresentation
bin111000100001…
…111100000000
31000212212221112
4320201330000
512243202242
61245342452
7236650202
oct70417400
930785845
1014819072
118401874
124b67a28
1330bb1a8
141d7a772
15147ac82
hexe21f00

14819072 has 36 divisors (see below), whose sum is σ = 29911896. Its totient is φ = 7326720.

The previous prime is 14819041. The next prime is 14819083. The reversal of 14819072 is 27091841.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27122 + ... + 27662.

It is an arithmetic number, because the mean of its divisors is an integer number (830886).

Almost surely, 214819072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955948).

14819072 is an abundant number, since it is smaller than the sum of its proper divisors (15092824).

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

14819072 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (14819073) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (664).

14819072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 14819072 is about 3849.5547794518. The cubic root of 14819072 is about 245.6256230628.

The spelling of 14819072 in words is "fourteen million, eight hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 541 856 1082 1712 2164 3424 4328 6848 8656 13696 17312 27392 34624 57887 69248 115774 138496 231548 463096 926192 1852384 3704768 7409536 14819072