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14485140 = 2232580473
BaseRepresentation
bin110111010000…
…011010010100
31000020220212200
4313100122110
512202011030
61234244500
7234056505
oct67203224
930226780
1014485140
1181a399a
124a26730
1330021b7
141cd0bac
151411d60
hexdd0694

14485140 has 36 divisors (see below), whose sum is σ = 43938804. Its totient is φ = 3862656.

The previous prime is 14485111. The next prime is 14485151. The reversal of 14485140 is 4158441.

It is a happy number.

14485140 is a `hidden beast` number, since 144 + 8 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7064964 + 7420176 = 2658^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40057 + ... + 40416.

Almost surely, 214485140 is an apocalyptic number.

14485140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14485140 is an abundant number, since it is smaller than the sum of its proper divisors (29453664).

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

14485140 is a wasteful number, since it uses less digits than its factorization.

14485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80488 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 14485140 is about 3805.9348391690. The cubic root of 14485140 is about 243.7666181964.

The spelling of 14485140 in words is "fourteen million, four hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 80473 160946 241419 321892 402365 482838 724257 804730 965676 1207095 1448514 1609460 2414190 2897028 3621285 4828380 7242570 14485140