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16997112 = 23321121951
BaseRepresentation
bin100000011010…
…1101011111000
31011222112122200
41000311223320
513322401422
61404150200
7264321156
oct100655370
934875580
1016997112
11965a200
125838360
1336a1682
1423863d6
15175b2ac
hex1035af8

16997112 has 72 divisors (see below), whose sum is σ = 50625120. Its totient is φ = 5148000.

The previous prime is 16997111. The next prime is 16997143. The reversal of 16997112 is 21179961.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16997111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7737 + ... + 9687.

Almost surely, 216997112 is an apocalyptic number.

16997112 is a gapful number since it is divisible by the number (12) 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 16997112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25312560).

16997112 is an abundant number, since it is smaller than the sum of its proper divisors (33628008).

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

16997112 is a wasteful number, since it uses less digits than its factorization.

16997112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1967 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 16997112 is about 4122.7553892997. The cubic root of 16997112 is about 257.1135977290.

The spelling of 16997112 in words is "sixteen million, nine hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 1951 2178 2904 3902 4356 5853 7804 8712 11706 15608 17559 21461 23412 35118 42922 46824 64383 70236 85844 128766 140472 171688 193149 236071 257532 386298 472142 515064 708213 772596 944284 1416426 1545192 1888568 2124639 2832852 4249278 5665704 8498556 16997112