Search a number
-
+
14873216 = 27131887
BaseRepresentation
bin111000101111…
…001010000000
31000222122012212
4320233022000
512301420331
61250441252
7240264101
oct70571200
930878185
1014873216
118439516
124b93228
133109a27
141d923a8
15148bd2b
hexe2f280

14873216 has 32 divisors (see below), whose sum is σ = 29890080. Its totient is φ = 7371520.

The previous prime is 14873191. The next prime is 14873269. The reversal of 14873216 is 61237841.

It is a tau number, because it is divible by the number of its divisors (32).

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

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, 16325 + ... + 17211.

It is an arithmetic number, because the mean of its divisors is an integer number (934065).

Almost surely, 214873216 is an apocalyptic number.

14873216 is a gapful number since it is divisible by the number (16) 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 14873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945040).

14873216 is an abundant number, since it is smaller than the sum of its proper divisors (15016864).

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

14873216 is an equidigital number, since it uses as much as digits as its factorization.

14873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 14873216 is about 3856.5808691119. The cubic root of 14873216 is about 245.9244044715.

The spelling of 14873216 in words is "fourteen million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 887 1048 1774 2096 3548 4192 7096 8384 14192 16768 28384 56768 113536 116197 232394 464788 929576 1859152 3718304 7436608 14873216