Search a number
-
+
16897296 = 2431322083
BaseRepresentation
bin100000001110…
…1010100010000
31011210110201210
41000131110100
513311203141
61402100120
7263424153
oct100352420
934713653
1016897296
1195a1209
1257aa640
133668100
14235bc9a
15173b916
hex101d510

16897296 has 60 divisors (see below), whose sum is σ = 47290128. Its totient is φ = 5196672.

The previous prime is 16897291. The next prime is 16897313. The reversal of 16897296 is 69279861.

It is a super-2 number, since 2×168972962 = 571037224223232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16897291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7071 + ... + 9153.

Almost surely, 216897296 is an apocalyptic number.

16897296 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 16897296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645064).

16897296 is an abundant number, since it is smaller than the sum of its proper divisors (30392832).

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

16897296 is a wasteful number, since it uses less digits than its factorization.

16897296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2101 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 16897296 is about 4110.6320681861. The cubic root of 16897296 is about 256.6093070976.

The spelling of 16897296 in words is "sixteen million, eight hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2083 2704 4056 4166 6249 8112 8332 12498 16664 24996 27079 33328 49992 54158 81237 99984 108316 162474 216632 324948 352027 433264 649896 704054 1056081 1299792 1408108 2112162 2816216 4224324 5632432 8448648 16897296