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14247072 = 2532737191
BaseRepresentation
bin110110010110…
…010010100000
3222210211022100
4312112102200
512121401242
61225210400
7232045440
oct66262240
928724270
1014247072
118051044
124930a00
132c4aa28
141c6c120
1513b654c
hexd964a0

14247072 has 144 divisors (see below), whose sum is σ = 47803392. Its totient is φ = 3939840.

The previous prime is 14246971. The next prime is 14247113. The reversal of 14247072 is 27074241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 74497 + ... + 74687.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 214247072 is an apocalyptic number.

14247072 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 14247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

14247072 is an abundant number, since it is smaller than the sum of its proper divisors (33556320).

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

14247072 is a wasteful number, since it uses less digits than its factorization.

14247072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 14247072 is about 3774.5293746373. The cubic root of 14247072 is about 242.4237731153.

The spelling of 14247072 in words is "fourteen million, two hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 191 222 224 252 259 288 296 333 336 382 444 504 518 573 592 666 672 764 777 888 1008 1036 1146 1184 1332 1337 1528 1554 1719 1776 2016 2072 2292 2331 2664 2674 3056 3108 3438 3552 4011 4144 4584 4662 5328 5348 6112 6216 6876 7067 8022 8288 9168 9324 10656 10696 12033 12432 13752 14134 16044 18336 18648 21201 21392 24066 24864 27504 28268 32088 37296 42402 42784 48132 49469 55008 56536 63603 64176 74592 84804 96264 98938 113072 127206 128352 148407 169608 192528 197876 226144 254412 296814 339216 385056 395752 445221 508824 593628 678432 791504 890442 1017648 1187256 1583008 1780884 2035296 2374512 3561768 4749024 7123536 14247072