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16923296 = 2513172393
BaseRepresentation
bin100000010001…
…1101010100000
31011211210101202
41000203222200
513313021141
61402420332
7263563025
oct100435240
934753352
1016923296
1196097a5
1258016a8
133676bb0
14236754c
15174449b
hex1023aa0

16923296 has 48 divisors (see below), whose sum is σ = 38007144. Its totient is φ = 7348224.

The previous prime is 16923293. The next prime is 16923323. The reversal of 16923296 is 69232961.

It can be written as a sum of positive squares in 4 ways, for example, as 8880400 + 8042896 = 2980^2 + 2836^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (16923293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5876 + ... + 8268.

Almost surely, 216923296 is an apocalyptic number.

16923296 is a gapful number since it is divisible by the number (16) 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 16923296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003572).

16923296 is an abundant number, since it is smaller than the sum of its proper divisors (21083848).

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

16923296 is a wasteful number, since it uses less digits than its factorization.

16923296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 16923296 is about 4113.7933832413. The cubic root of 16923296 is about 256.7408552242.

The spelling of 16923296 in words is "sixteen million, nine hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 2393 3536 4786 7072 9572 19144 31109 38288 40681 62218 76576 81362 124436 162724 248872 325448 497744 528853 650896 995488 1057706 1301792 2115412 4230824 8461648 16923296