Search a number
-
+
14071032 = 23322329293
BaseRepresentation
bin110101101011…
…010011111000
3222110212211100
4311223103320
512100233112
61221331400
7230413263
oct65532370
928425740
1014071032
117a40858
124866b60
132bb8871
141c23cda
15137e2dc
hexd6b4f8

14071032 has 96 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 4316928.

The previous prime is 14071027. The next prime is 14071067. The reversal of 14071032 is 23017041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14070996 and 14071014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47878 + ... + 48170.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 214071032 is an apocalyptic number.

14071032 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 14071032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

14071032 is an abundant number, since it is smaller than the sum of its proper divisors (27206568).

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

14071032 is a wasteful number, since it uses less digits than its factorization.

14071032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14071032 is about 3751.1374275012. The cubic root of 14071032 is about 241.4211514256.

Adding to 14071032 its reverse (23017041), we get a palindrome (37088073).

The spelling of 14071032 in words is "fourteen million, seventy-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 293 348 414 522 552 586 667 696 828 879 1044 1172 1334 1656 1758 2001 2088 2344 2637 2668 3516 4002 5274 5336 6003 6739 7032 8004 8497 10548 12006 13478 16008 16994 20217 21096 24012 25491 26956 33988 40434 48024 50982 53912 60651 67976 76473 80868 101964 121302 152946 161736 195431 203928 242604 305892 390862 485208 586293 611784 781724 1172586 1563448 1758879 2345172 3517758 4690344 7035516 14071032