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16441920 = 2633511173
BaseRepresentation
bin111110101110…
…001001000000
31010221100002000
4332232021000
513202120140
61344224000
7256516425
oct76561100
933840060
1016441920
119310070
12560b000
133538a61
14227dd4c
15169ba30
hexfae240

16441920 has 224 divisors, whose sum is σ = 63642240. Its totient is φ = 3962880.

The previous prime is 16441913. The next prime is 16441921. The reversal of 16441920 is 2914461.

16441920 is a `hidden beast` number, since 1 + 644 + 19 + 2 + 0 = 666.

It is a super-3 number, since 3×164419203 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16441921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94954 + ... + 95126.

Almost surely, 216441920 is an apocalyptic number.

16441920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31821120).

16441920 is an abundant number, since it is smaller than the sum of its proper divisors (47200320).

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

16441920 is a wasteful number, since it uses less digits than its factorization.

16441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16441920 is about 4054.8637461695. The cubic root of 16441920 is about 254.2831075655.

The spelling of 16441920 in words is "sixteen million, four hundred forty-one thousand, nine hundred twenty".