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17142768 = 2432119047
BaseRepresentation
bin100000101100…
…1001111110000
31012020221110100
41001121033300
513342032033
61411232400
7265465626
oct101311760
935227410
1017142768
119749685
1258a8700
133722a66
1423c3516
151789513
hex10593f0

17142768 has 30 divisors (see below), whose sum is σ = 47976344. Its totient is φ = 5714208.

The previous prime is 17142709. The next prime is 17142773. The reversal of 17142768 is 86724171.

17142768 is a `hidden beast` number, since 171 + 427 + 68 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (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 5 ways as a sum of consecutive naturals, for example, 59380 + ... + 59667.

Almost surely, 217142768 is an apocalyptic number.

17142768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

17142768 is an abundant number, since it is smaller than the sum of its proper divisors (30833576).

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

17142768 is a wasteful number, since it uses less digits than its factorization.

17142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119061 (or 119052 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 17142768 is about 4140.3825910174. The cubic root of 17142768 is about 257.8459509433.

The spelling of 17142768 in words is "seventeen million, one hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 119047 238094 357141 476188 714282 952376 1071423 1428564 1904752 2142846 2857128 4285692 5714256 8571384 17142768