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14570640 = 243257359
BaseRepresentation
bin110111100101…
…010010010000
31000102021011100
4313211102100
512212230030
61240144400
7234564000
oct67452220
930367140
1014570640
118252157
124a68100
1330320a6
141d14000
15142c360
hexde5490

14570640 has 240 divisors, whose sum is σ = 58032000. Its totient is φ = 3273984.

The previous prime is 14570639. The next prime is 14570653. The reversal of 14570640 is 4607541.

14570640 is a `hidden beast` number, since 14 + 5 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 246931 + ... + 246989.

It is an arithmetic number, because the mean of its divisors is an integer number (241800).

Almost surely, 214570640 is an apocalyptic number.

14570640 is a gapful number since it is divisible by the number (10) 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 14570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000).

14570640 is an abundant number, since it is smaller than the sum of its proper divisors (43461360).

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

14570640 is a wasteful number, since it uses less digits than its factorization.

14570640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14570640 is about 3817.1507698806. The cubic root of 14570640 is about 244.2452966299.

The spelling of 14570640 in words is "fourteen million, five hundred seventy thousand, six hundred forty".