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16888968 = 23321271847
BaseRepresentation
bin100000001101…
…1010010001000
31011210001022100
41000123102020
513310421333
61401553400
7263360655
oct100332210
934701270
1016888968
119595a28
1257a5860
133664395
142358c2c
151739213
hex101b488

16888968 has 48 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 5582304.

The previous prime is 16888957. The next prime is 16888997. The reversal of 16888968 is 86988861.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8221 + ... + 10067.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 216888968 is an apocalyptic number.

16888968 is a gapful number since it is divisible by the number (18) 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 16888968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040).

16888968 is an abundant number, since it is smaller than the sum of its proper divisors (29237112).

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

16888968 is a wasteful number, since it uses less digits than its factorization.

16888968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 16888968 is about 4109.6189604390. The cubic root of 16888968 is about 256.5671426887.

The spelling of 16888968 in words is "sixteen million, eight hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 1847 2286 3048 3694 4572 5541 7388 9144 11082 14776 16623 22164 33246 44328 66492 132984 234569 469138 703707 938276 1407414 1876552 2111121 2814828 4222242 5629656 8444484 16888968