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14457961 = 723891009
BaseRepresentation
bin110111001001…
…110001101001
31000012112121001
4313021301221
512200123321
61233515001
7233614330
oct67116151
930175531
1014457961
118185531
124a12a61
132cc2a0b
141cc4d17
151408c91
hexdc9c69

14457961 has 16 divisors (see below), whose sum is σ = 17452800. Its totient is φ = 11708928.

The previous prime is 14457959. The next prime is 14458001. The reversal of 14457961 is 16975441.

It is not a de Polignac number, because 14457961 - 21 = 14457959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14457961.

It is not an unprimeable number, because it can be changed into a prime (14457901) 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 15 ways as a sum of consecutive naturals, for example, 13825 + ... + 14833.

It is an arithmetic number, because the mean of its divisors is an integer number (1090800).

Almost surely, 214457961 is an apocalyptic number.

It is an amenable number.

14457961 is a deficient number, since it is larger than the sum of its proper divisors (2994839).

14457961 is a wasteful number, since it uses less digits than its factorization.

14457961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its digits is 30240, while the sum is 37.

The square root of 14457961 is about 3802.3625550439. The cubic root of 14457961 is about 243.6140599879.

The spelling of 14457961 in words is "fourteen million, four hundred fifty-seven thousand, nine hundred sixty-one".

Divisors: 1 7 23 89 161 623 1009 2047 7063 14329 23207 89801 162449 628607 2065423 14457961