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16428720 = 24357211127
BaseRepresentation
bin111110101010…
…111010110000
31010220122222010
4332222322300
513201204340
61344042520
7256433100
oct76527260
933818863
1016428720
119301160
125603440
133532a49
142279200
151697b80
hexfaaeb0

16428720 has 240 divisors, whose sum is σ = 65138688. Its totient is φ = 3386880.

The previous prime is 16428719. The next prime is 16428743. The reversal of 16428720 is 2782461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129297 + ... + 129423.

Almost surely, 216428720 is an apocalyptic number.

16428720 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 16428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32569344).

16428720 is an abundant number, since it is smaller than the sum of its proper divisors (48709968).

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

16428720 is a wasteful number, since it uses less digits than its factorization.

16428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 16428720 is about 4053.2357444392. The cubic root of 16428720 is about 254.2150409882.

The spelling of 16428720 in words is "sixteen million, four hundred twenty-eight thousand, seven hundred twenty".