Search a number
-
+
14480172 = 22327371553
BaseRepresentation
bin110111001111…
…001100101100
31000020200001200
4313033030230
512201331142
61234205500
7234036150
oct67171454
930220050
1014480172
1181a0193
124a23890
132cccb65
141ccd060
15141064c
hexdcf32c

14480172 has 72 divisors (see below), whose sum is σ = 42989856. Its totient is φ = 4022784.

The previous prime is 14480171. The next prime is 14480173. The reversal of 14480172 is 27108441.

14480172 is a `hidden beast` number, since 14 + 480 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (14480171) and next prime (14480173).

It is a super-2 number, since 2×144801722 = 419350762299168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14480171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8548 + ... + 10100.

Almost surely, 214480172 is an apocalyptic number.

14480172 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 14480172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494928).

14480172 is an abundant number, since it is smaller than the sum of its proper divisors (28509684).

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

14480172 is a wasteful number, since it uses less digits than its factorization.

14480172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14480172 is about 3805.2821183192. The cubic root of 14480172 is about 243.7387466205.

The spelling of 14480172 in words is "fourteen million, four hundred eighty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1553 1554 2331 3106 3108 4659 4662 6212 9318 9324 10871 13977 18636 21742 27954 32613 43484 55908 57461 65226 97839 114922 130452 172383 195678 229844 344766 391356 402227 517149 689532 804454 1034298 1206681 1608908 2068596 2413362 3620043 4826724 7240086 14480172