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14768016 = 2431916193
BaseRepresentation
bin111000010101…
…011110010000
31000210021220120
4320111132100
512240034031
61244310240
7236345304
oct70253620
930707816
1014768016
11837747a
124b42380
1330a0b93
141d65d04
15146aa96
hexe15790

14768016 has 40 divisors (see below), whose sum is σ = 40161120. Its totient is φ = 4663296.

The previous prime is 14768009. The next prime is 14768021. The reversal of 14768016 is 61086741.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 7185 + ... + 9008.

It is an arithmetic number, because the mean of its divisors is an integer number (1004028).

Almost surely, 214768016 is an apocalyptic number.

14768016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14768016 is an abundant number, since it is smaller than the sum of its proper divisors (25393104).

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

14768016 is a wasteful number, since it uses less digits than its factorization.

14768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14768016 is about 3842.9176415843. The cubic root of 14768016 is about 245.3432146566.

It can be divided in two parts, 147680 and 16, that added together give a triangular number (147696 = T543).

The spelling of 14768016 in words is "fourteen million, seven hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 16193 32386 48579 64772 97158 129544 194316 259088 307667 388632 615334 777264 923001 1230668 1846002 2461336 3692004 4922672 7384008 14768016