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16406920 = 235410173
BaseRepresentation
bin111110100101…
…100110001000
31010212120001201
4332211212020
513200010140
61343353544
7256312405
oct76454610
933776051
1016406920
119296842
1255b28b4
133525b4a
1422712ac
15169149a
hexfa5988

16406920 has 16 divisors (see below), whose sum is σ = 36915660. Its totient is φ = 6562752.

The previous prime is 16406917. The next prime is 16406927. The reversal of 16406920 is 2960461.

16406920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14884164 + 1522756 = 3858^2 + 1234^2 .

It is not an unprimeable number, because it can be changed into a prime (16406927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205047 + ... + 205126.

Almost surely, 216406920 is an apocalyptic number.

16406920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16406920 is an abundant number, since it is smaller than the sum of its proper divisors (20508740).

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

16406920 is a wasteful number, since it uses less digits than its factorization.

16406920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410184 (or 410180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 16406920 is about 4050.5456422561. The cubic root of 16406920 is about 254.1025481309.

The spelling of 16406920 in words is "sixteen million, four hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 410173 820346 1640692 2050865 3281384 4101730 8203460 16406920