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16920192 = 273139317
BaseRepresentation
bin100000010001…
…0111010000000
31011211122010210
41000202322000
513312421232
61402354120
7263551002
oct100427200
934748123
1016920192
119607433
1257bb940
133675663
142366372
1517435cc
hex1022e80

16920192 has 64 divisors (see below), whose sum is σ = 45410400. Its totient is φ = 5581824.

The previous prime is 16920191. The next prime is 16920217. The reversal of 16920192 is 29102961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16920191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53218 + ... + 53534.

Almost surely, 216920192 is an apocalyptic number.

16920192 is a gapful number since it is divisible by the number (12) 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 16920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705200).

16920192 is an abundant number, since it is smaller than the sum of its proper divisors (28490208).

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

16920192 is a wasteful number, since it uses less digits than its factorization.

16920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 16920192 is about 4113.4160985731. The cubic root of 16920192 is about 256.7251574874.

The spelling of 16920192 in words is "sixteen million, nine hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 317 384 417 556 634 834 951 1112 1268 1668 1902 2224 2536 3336 3804 4448 5072 6672 7608 8896 10144 13344 15216 17792 20288 26688 30432 40576 44063 53376 60864 88126 121728 132189 176252 264378 352504 528756 705008 1057512 1410016 2115024 2820032 4230048 5640064 8460096 16920192