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16996080 = 2435233079
BaseRepresentation
bin100000011010…
…1011011110000
31011222111020110
41000311123300
513322333310
61404141320
7264315153
oct100653360
934874213
1016996080
119659452
125837840
1336a106a
142385c9a
15175ad20
hex10356f0

16996080 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 4333824.

The previous prime is 16996069. The next prime is 16996087. The reversal of 16996080 is 8069961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16996087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3981 + ... + 7059.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 216996080 is an apocalyptic number.

16996080 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 16996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

16996080 is an abundant number, since it is smaller than the sum of its proper divisors (38000400).

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

16996080 is a wasteful number, since it uses less digits than its factorization.

16996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 16996080 is about 4122.6302283858. The cubic root of 16996080 is about 257.1083939704.

The spelling of 16996080 in words is "sixteen million, nine hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 3079 5520 6158 9237 12316 15395 18474 24632 30790 36948 46185 49264 61580 70817 73896 92370 123160 141634 147792 184740 212451 246320 283268 354085 369480 424902 566536 708170 738960 849804 1062255 1133072 1416340 1699608 2124510 2832680 3399216 4249020 5665360 8498040 16996080