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16980096 = 27376317
BaseRepresentation
bin100000011000…
…1100010000000
31011221200022110
41000301202000
513321330341
61403535320
7264220440
oct100614200
934850273
1016980096
119648441
12582a540
1336969c3
142380120
151756216
hex1031880

16980096 has 64 divisors (see below), whose sum is σ = 51554880. Its totient is φ = 4850688.

The previous prime is 16980083. The next prime is 16980097. The reversal of 16980096 is 69008961.

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 (16980097) 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, 471 + ... + 5846.

It is an arithmetic number, because the mean of its divisors is an integer number (805545).

Almost surely, 216980096 is an apocalyptic number.

16980096 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 16980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25777440).

16980096 is an abundant number, since it is smaller than the sum of its proper divisors (34574784).

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

16980096 is an equidigital number, since it uses as much as digits as its factorization.

16980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6329 counting only the distinct ones).

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

The square root of 16980096 is about 4120.6912041550. The cubic root of 16980096 is about 257.0277693098.

The spelling of 16980096 in words is "sixteen million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 6317 12634 18951 25268 37902 44219 50536 75804 88438 101072 132657 151608 176876 202144 265314 303216 353752 404288 530628 606432 707504 808576 1061256 1212864 1415008 2122512 2425728 2830016 4245024 5660032 8490048 16980096