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16994976 = 2532343179
BaseRepresentation
bin100000011010…
…1001010100000
31011222102201120
41000311022200
513322314401
61404132240
7264312015
oct100651240
934872646
1016994976
119658639
125837080
1336a06cb
14238570c
15175a836
hex10352a0

16994976 has 96 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 5263104.

The previous prime is 16994969. The next prime is 16994977. The reversal of 16994976 is 67949961.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (16994977) 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, 94855 + ... + 95033.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 216994976 is an apocalyptic number.

16994976 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 16994976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

16994976 is an abundant number, since it is smaller than the sum of its proper divisors (30905184).

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

16994976 is a wasteful number, since it uses less digits than its factorization.

16994976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 16994976 is about 4122.4963311081. The cubic root of 16994976 is about 257.1028269257.

The spelling of 16994976 in words is "sixteen million, nine hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 69 86 92 96 129 138 172 179 184 258 276 344 358 368 516 537 552 688 716 736 989 1032 1074 1104 1376 1432 1978 2064 2148 2208 2864 2967 3956 4117 4128 4296 5728 5934 7697 7912 8234 8592 11868 12351 15394 15824 16468 17184 23091 23736 24702 30788 31648 32936 46182 47472 49404 61576 65872 92364 94944 98808 123152 131744 177031 184728 197616 246304 354062 369456 395232 531093 708124 738912 1062186 1416248 2124372 2832496 4248744 5664992 8497488 16994976