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16780968 = 2332233069
BaseRepresentation
bin100000000000…
…0111010101000
31011120120011100
41000000322220
513243442333
61355401400
7262431051
oct100007250
934516140
1016780968
119521876
125753260
133627189
14232b728
151717213
hex1000ea8

16780968 has 24 divisors (see below), whose sum is σ = 45448650. Its totient is φ = 5593632.

The previous prime is 16780963. The next prime is 16780979. The reversal of 16780968 is 86908761.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15824484 + 956484 = 3978^2 + 978^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16780963) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 116463 + ... + 116606.

Almost surely, 216780968 is an apocalyptic number.

16780968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16780968 is an abundant number, since it is smaller than the sum of its proper divisors (28667682).

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

16780968 is a wasteful number, since it uses less digits than its factorization.

16780968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233081 (or 233074 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 16780968 is about 4096.4579822085. The cubic root of 16780968 is about 256.0190822364.

The spelling of 16780968 in words is "sixteen million, seven hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233069 466138 699207 932276 1398414 1864552 2097621 2796828 4195242 5593656 8390484 16780968