Search a number
-
+
214032 = 2437313
BaseRepresentation
bin110100010000010000
3101212121010
4310100100
523322112
64330520
71551000
oct642020
9355533
10214032
11136895
12a3a40
1376560
1458000
154363c
hex34410

214032 has 80 divisors (see below), whose sum is σ = 694400. Its totient is φ = 56448.

The previous prime is 214031. The next prime is 214033. The reversal of 214032 is 230412.

Adding to 214032 its reverse (230412), we get a palindrome (444444).

214032 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (214031) and next prime (214033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213999 and 214017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214032.

It is not an unprimeable number, because it can be changed into a prime (214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16458 + ... + 16470.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2214032 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 214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347200).

214032 is an abundant number, since it is smaller than the sum of its proper divisors (480368).

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

214032 is a wasteful number, since it uses less digits than its factorization.

214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 214032 is about 462.6359259720. The cubic root of 214032 is about 59.8172215438.

The spelling of 214032 in words is "two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1092 1176 1274 1372 1456 1911 2058 2184 2352 2548 2744 3822 4116 4368 4459 5096 5488 7644 8232 8918 10192 13377 15288 16464 17836 26754 30576 35672 53508 71344 107016 214032