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16378890 = 2351149633
BaseRepresentation
bin111110011110…
…110000001010
31010211010121120
4332132300022
513143111030
61343020110
7256134603
oct76366012
933733546
1016378890
119277780
12559a636
133516168
142264daa
151688010
hexf9ec0a

16378890 has 32 divisors (see below), whose sum is σ = 42883776. Its totient is φ = 3970560.

The previous prime is 16378861. The next prime is 16378891. The reversal of 16378890 is 9887361.

It is not an unprimeable number, because it can be changed into a prime (16378891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24487 + ... + 25146.

It is an arithmetic number, because the mean of its divisors is an integer number (1340118).

Almost surely, 216378890 is an apocalyptic number.

16378890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16378890 is an abundant number, since it is smaller than the sum of its proper divisors (26504886).

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

16378890 is a wasteful number, since it uses less digits than its factorization.

16378890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49654.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 16378890 is about 4047.0841355228. The cubic root of 16378890 is about 253.9577605583.

It can be divided in two parts, 163788 and 90, that added together give a triangular number (163878 = T572).

The spelling of 16378890 in words is "sixteen million, three hundred seventy-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 49633 99266 148899 248165 297798 496330 545963 744495 1091926 1488990 1637889 2729815 3275778 5459630 8189445 16378890