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17940768 = 253186883
BaseRepresentation
bin100010001110…
…0000100100000
31020202111002220
41010130010200
514043101033
61440311040
7305331306
oct104340440
936674086
1017940768
11a14418a
126012480
133942051
142550276
151895bb3
hex111c120

17940768 has 24 divisors (see below), whose sum is σ = 47094768. Its totient is φ = 5980224.

The previous prime is 17940757. The next prime is 17940781. The reversal of 17940768 is 86704971.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93346 + ... + 93537.

It is an arithmetic number, because the mean of its divisors is an integer number (1962282).

Almost surely, 217940768 is an apocalyptic number.

It is an amenable number.

17940768 is an abundant number, since it is smaller than the sum of its proper divisors (29154000).

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

17940768 is a wasteful number, since it uses less digits than its factorization.

17940768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186896 (or 186888 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 17940768 is about 4235.6543768348. The cubic root of 17940768 is about 261.7863573131.

The spelling of 17940768 in words is "seventeen million, nine hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 186883 373766 560649 747532 1121298 1495064 2242596 2990128 4485192 5980256 8970384 17940768