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214728 = 23323389
BaseRepresentation
bin110100011011001000
3101220112220
4310123020
523332403
64334040
71553013
oct643310
9356486
10214728
11137368
12a4320
1376977
145837a
1543953
hex346c8

214728 has 32 divisors (see below), whose sum is σ = 561600. Its totient is φ = 68288.

The previous prime is 214723. The next prime is 214729. The reversal of 214728 is 827412.

It is a super-2 number, since 2×2147282 = 92216227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 214698 and 214707.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214728.

It is not an unprimeable number, because it can be changed into a prime (214723) by changing a digit.

214728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2214728 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 214728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

214728 is an abundant number, since it is smaller than the sum of its proper divisors (346872).

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

214728 is a wasteful number, since it uses less digits than its factorization.

214728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 214728 is about 463.3875268067. The cubic root of 214728 is about 59.8819902695.

The spelling of 214728 in words is "two hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 389 552 778 1167 1556 2334 3112 4668 8947 9336 17894 26841 35788 53682 71576 107364 214728