Search a number
-
+
14072832 = 21033509
BaseRepresentation
bin110101101011…
…110000000000
3222110222022000
4311223300000
512100312312
61221344000
7230421444
oct65536000
928428260
1014072832
117a42144
124868000
132bb9627
141c24824
15137eadc
hexd6bc00

14072832 has 88 divisors (see below), whose sum is σ = 41758800. Its totient is φ = 4681728.

The previous prime is 14072831. The next prime is 14072833. The reversal of 14072832 is 23827041.

It is an interprime number because it is at equal distance from previous prime (14072831) and next prime (14072833).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14072796 and 14072805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14072831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27394 + ... + 27902.

Almost surely, 214072832 is an apocalyptic number.

14072832 is a gapful number since it is divisible by the number (12) 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 14072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20879400).

14072832 is an abundant number, since it is smaller than the sum of its proper divisors (27685968).

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

14072832 is an equidigital number, since it uses as much as digits as its factorization.

14072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14072832 is about 3751.3773470553. The cubic root of 14072832 is about 241.4314453767.

Adding to 14072832 its reverse (23827041), we get a palindrome (37899873).

The spelling of 14072832 in words is "fourteen million, seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 509 512 576 768 864 1018 1024 1152 1527 1536 1728 2036 2304 3054 3072 3456 4072 4581 4608 6108 6912 8144 9162 9216 12216 13743 13824 16288 18324 24432 27486 27648 32576 36648 48864 54972 65152 73296 97728 109944 130304 146592 195456 219888 260608 293184 390912 439776 521216 586368 781824 879552 1172736 1563648 1759104 2345472 3518208 4690944 7036416 14072832