Search a number
-
+
14770272 = 2531171197
BaseRepresentation
bin111000010110…
…000001100000
31000210102000010
4320112001200
512240122042
61244324520
7236355006
oct70260140
930712003
1014770272
118379140
124b43740
1330a1c0a
141d66a76
15146b59c
hexe16060

14770272 has 96 divisors (see below), whose sum is σ = 43110144. Its totient is φ = 4390400.

The previous prime is 14770247. The next prime is 14770307. The reversal of 14770272 is 27207741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74878 + ... + 75074.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 214770272 is an apocalyptic number.

14770272 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 14770272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072).

14770272 is an abundant number, since it is smaller than the sum of its proper divisors (28339872).

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

14770272 is a wasteful number, since it uses less digits than its factorization.

14770272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 14770272 is about 3843.2111573527. The cubic root of 14770272 is about 245.3557071067.

The spelling of 14770272 in words is "fourteen million, seven hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 197 213 264 284 352 394 426 528 568 591 781 788 852 1056 1136 1182 1562 1576 1704 2167 2272 2343 2364 3124 3152 3408 4334 4686 4728 6248 6304 6501 6816 8668 9372 9456 12496 13002 13987 17336 18744 18912 24992 26004 27974 34672 37488 41961 52008 55948 69344 74976 83922 104016 111896 153857 167844 208032 223792 307714 335688 447584 461571 615428 671376 923142 1230856 1342752 1846284 2461712 3692568 4923424 7385136 14770272