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16968880 = 245474513
BaseRepresentation
bin100000010111…
…0110010110000
31011221002221001
41000232302300
513321001010
61403411344
7264142645
oct100566260
934832831
1016968880
11963aa75
125823b54
133691876
142379dcc
151752c3a
hex102ecb0

16968880 has 40 divisors (see below), whose sum is σ = 40300992. Its totient is φ = 6641664.

The previous prime is 16968859. The next prime is 16968883. The reversal of 16968880 is 8886961.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 16968880.

It is not an unprimeable number, because it can be changed into a prime (16968883) 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, 1504 + ... + 6016.

Almost surely, 216968880 is an apocalyptic number.

16968880 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 16968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150496).

16968880 is an abundant number, since it is smaller than the sum of its proper divisors (23332112).

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

16968880 is a wasteful number, since it uses less digits than its factorization.

16968880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 16968880 is about 4119.3300426162. The cubic root of 16968880 is about 256.9711646351.

The spelling of 16968880 in words is "sixteen million, nine hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 4513 9026 18052 22565 36104 45130 72208 90260 180520 212111 361040 424222 848444 1060555 1696888 2121110 3393776 4242220 8484440 16968880