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16961328 = 2432117787
BaseRepresentation
bin100000010110…
…0111100110000
31011220201120100
41000230330300
513320230303
61403312400
7264111636
oct100547460
934821510
1016961328
11963532a
12581b700
13368b2b7
142377356
1517508a3
hex102cf30

16961328 has 30 divisors (see below), whose sum is σ = 47468564. Its totient is φ = 5653728.

The previous prime is 16961311. The next prime is 16961333. The reversal of 16961328 is 82316961.

16961328 is a `hidden beast` number, since 16 + 9 + 613 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16961292 and 16961301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58750 + ... + 59037.

Almost surely, 216961328 is an apocalyptic number.

16961328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16961328 is an abundant number, since it is smaller than the sum of its proper divisors (30507236).

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

16961328 is a wasteful number, since it uses less digits than its factorization.

16961328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117801 (or 117792 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16961328 is about 4118.4132866919. The cubic root of 16961328 is about 256.9330373063.

The spelling of 16961328 in words is "sixteen million, nine hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 117787 235574 353361 471148 706722 942296 1060083 1413444 1884592 2120166 2826888 4240332 5653776 8480664 16961328