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16988880 = 243571997
BaseRepresentation
bin100000011001…
…1101011010000
31011222010100210
41000303223100
513322121010
61404044120
7264255156
oct100635320
934863323
1016988880
119653aa7
125833640
13369a9bc
1423833d6
151758b20
hex1033ad0

16988880 has 80 divisors (see below), whose sum is σ = 53460864. Its totient is φ = 4462080.

The previous prime is 16988879. The next prime is 16988887. The reversal of 16988880 is 8888961.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16988887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16542 + ... + 17538.

Almost surely, 216988880 is an apocalyptic number.

16988880 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 16988880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730432).

16988880 is an abundant number, since it is smaller than the sum of its proper divisors (36471984).

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

16988880 is a wasteful number, since it uses less digits than its factorization.

16988880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 16988880 is about 4121.7569069512. The cubic root of 16988880 is about 257.0720828151.

The spelling of 16988880 in words is "sixteen million, nine hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 997 1065 1136 1420 1704 1994 2130 2840 2991 3408 3988 4260 4985 5680 5982 7976 8520 9970 11964 14955 15952 17040 19940 23928 29910 39880 47856 59820 70787 79760 119640 141574 212361 239280 283148 353935 424722 566296 707870 849444 1061805 1132592 1415740 1698888 2123610 2831480 3397776 4247220 5662960 8494440 16988880