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16628040 = 2332511131719
BaseRepresentation
bin111111011011…
…100101001000
31011021210101100
4333123211020
513224044130
61352221400
7261223152
oct77334510
934253340
1016628040
119427990
12569a860
1335a26a0
1422cbad2
1516d6c60
hexfdb948

16628040 has 384 divisors, whose sum is σ = 70761600. Its totient is φ = 3317760.

The previous prime is 16628039. The next prime is 16628069. The reversal of 16628040 is 4082661.

It is a junction number, because it is equal to n+sod(n) for n = 16627995 and 16628013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875151 + ... + 875169.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 216628040 is an apocalyptic number.

16628040 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 16628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

16628040 is an abundant number, since it is smaller than the sum of its proper divisors (54133560).

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

16628040 is a wasteful number, since it uses less digits than its factorization.

16628040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16628040 is about 4077.7493792532. The cubic root of 16628040 is about 255.2389916281.

The spelling of 16628040 in words is "sixteen million, six hundred twenty-eight thousand, forty".