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16920832 = 28157421
BaseRepresentation
bin100000010001…
…1000100000000
31011211200000111
41000203010000
513312431312
61402401104
7263552605
oct100430400
934750014
1016920832
119607965
125800194
133675a36
1423666ac
1517438a7
hex1023100

16920832 has 36 divisors (see below), whose sum is σ = 34071436. Its totient is φ = 8386560.

The previous prime is 16920821. The next prime is 16920859. The reversal of 16920832 is 23802961.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 15241216 = 1296^2 + 3904^2 .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 16920794 and 16920803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39982 + ... + 40402.

Almost surely, 216920832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035718).

16920832 is an abundant number, since it is smaller than the sum of its proper divisors (17150604).

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

16920832 is an equidigital number, since it uses as much as digits as its factorization.

16920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 16920832 is about 4113.4938920582. The cubic root of 16920832 is about 256.7283942912.

The spelling of 16920832 in words is "sixteen million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 421 628 842 1256 1684 2512 3368 5024 6736 10048 13472 20096 26944 40192 53888 66097 107776 132194 264388 528776 1057552 2115104 4230208 8460416 16920832