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14672672 = 257312113
BaseRepresentation
bin110111111110…
…001100100000
31000121110010022
4313332030200
512224011142
61242253012
7235500320
oct67761440
930543108
1014672672
118311883
124ab7168
133069671
141d3d280
15144c6d2
hexdfe320

14672672 has 48 divisors (see below), whose sum is σ = 34094592. Its totient is φ = 6082560.

The previous prime is 14672663. The next prime is 14672677. The reversal of 14672672 is 27627641.

It is not an unprimeable number, because it can be changed into a prime (14672677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5888 + ... + 8000.

It is an arithmetic number, because the mean of its divisors is an integer number (710304).

Almost surely, 214672672 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 14672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047296).

14672672 is an abundant number, since it is smaller than the sum of its proper divisors (19421920).

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

14672672 is a wasteful number, since it uses less digits than its factorization.

14672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2153 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 14672672 is about 3830.4923965464. The cubic root of 14672672 is about 244.8140863639.

The spelling of 14672672 in words is "fourteen million, six hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 2113 3472 4226 6944 8452 14791 16904 29582 33808 59164 65503 67616 118328 131006 236656 262012 458521 473312 524024 917042 1048048 1834084 2096096 3668168 7336336 14672672