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16968080 = 2451131877
BaseRepresentation
bin100000010111…
…0100110010000
31011221001211102
41000232212100
513320434310
61403403532
7264140423
oct100564620
934831742
1016968080
11963a408
1258235a8
1336913ac
1423799ba
1517528a5
hex102e990

16968080 has 40 divisors (see below), whose sum is σ = 39821112. Its totient is φ = 6723584.

The previous prime is 16968079. The next prime is 16968131. The reversal of 16968080 is 8086961.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 16908544 = 244^2 + 4112^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8102 + ... + 9978.

Almost surely, 216968080 is an apocalyptic number.

16968080 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 16968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910556).

16968080 is an abundant number, since it is smaller than the sum of its proper divisors (22853032).

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

16968080 is a wasteful number, since it uses less digits than its factorization.

16968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 16968080 is about 4119.2329383030. The cubic root of 16968080 is about 256.9671262589.

The spelling of 16968080 in words is "sixteen million, nine hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 1877 2260 3754 4520 7508 9040 9385 15016 18770 30032 37540 75080 150160 212101 424202 848404 1060505 1696808 2121010 3393616 4242020 8484040 16968080