Search a number
-
+
14375072 = 253143337
BaseRepresentation
bin110110110101…
…100010100000
31000001022220002
4312311202200
512140000242
61232035132
7233120555
oct66654240
930038802
1014375072
118129228
124992aa8
132c9407a
141ca2a2c
1513de432
hexdb58a0

14375072 has 48 divisors (see below), whose sum is σ = 29981952. Its totient is φ = 6773760.

The previous prime is 14375071. The next prime is 14375083. The reversal of 14375072 is 27057341.

It is not an unprimeable number, because it can be changed into a prime (14375071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42488 + ... + 42824.

It is an arithmetic number, because the mean of its divisors is an integer number (624624).

Almost surely, 214375072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14375072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990976).

14375072 is an abundant number, since it is smaller than the sum of its proper divisors (15606880).

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

14375072 is a wasteful number, since it uses less digits than its factorization.

14375072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 14375072 is about 3791.4472170927. The cubic root of 14375072 is about 243.1476125042.

The spelling of 14375072 in words is "fourteen million, three hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 337 344 496 674 688 992 1333 1348 1376 2666 2696 5332 5392 10447 10664 10784 14491 20894 21328 28982 41788 42656 57964 83576 115928 167152 231856 334304 449221 463712 898442 1796884 3593768 7187536 14375072