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16988140 = 22513223293
BaseRepresentation
bin100000011001…
…1011111101100
31011222002100101
41000303133230
513322110030
61404040444
7264253051
oct100633754
934862311
1016988140
119653494
125833124
13369a570
142383028
1517587ca
hex10337ec

16988140 has 48 divisors (see below), whose sum is σ = 38723328. Its totient is φ = 6223104.

The previous prime is 16988131. The next prime is 16988141. The reversal of 16988140 is 4188961.

It is a happy number.

It is a super-5 number, since 5×169881405 (a number of 37 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16988140.

It is not an unprimeable number, because it can be changed into a prime (16988141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57834 + ... + 58126.

It is an arithmetic number, because the mean of its divisors is an integer number (806736).

Almost surely, 216988140 is an apocalyptic number.

16988140 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 16988140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361664).

16988140 is an abundant number, since it is smaller than the sum of its proper divisors (21735188).

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

16988140 is a wasteful number, since it uses less digits than its factorization.

16988140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 16988140 is about 4121.6671384283. The cubic root of 16988140 is about 257.0683502539.

The spelling of 16988140 in words is "sixteen million, nine hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 223 260 293 446 586 892 1115 1172 1465 2230 2899 2930 3809 4460 5798 5860 7618 11596 14495 15236 19045 28990 38090 57980 65339 76180 130678 261356 326695 653390 849407 1306780 1698814 3397628 4247035 8494070 16988140