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14424072 = 2331383557
BaseRepresentation
bin110111000001…
…100000001000
31000010211002220
4313001200020
512143032242
61233054040
7233413455
oct67014010
930124086
1014424072
118162023
1249b7320
132cb0470
141cb682c
1513edbec
hexdc1808

14424072 has 64 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4376832.

The previous prime is 14424001. The next prime is 14424073. The reversal of 14424072 is 27042441.

It is a super-2 number, since 2×144240722 = 416107706122368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14424073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25618 + ... + 26174.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 214424072 is an apocalyptic number.

14424072 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 14424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

14424072 is an abundant number, since it is smaller than the sum of its proper divisors (24948408).

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

14424072 is a wasteful number, since it uses less digits than its factorization.

14424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 14424072 is about 3797.9036322687. The cubic root of 14424072 is about 243.4235698774.

The spelling of 14424072 in words is "fourteen million, four hundred twenty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 557 664 996 1079 1114 1671 1992 2158 2228 3237 3342 4316 4456 6474 6684 7241 8632 12948 13368 14482 21723 25896 28964 43446 46231 57928 86892 92462 138693 173784 184924 277386 369848 554772 601003 1109544 1202006 1803009 2404012 3606018 4808024 7212036 14424072