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20160096 = 25311171123
BaseRepresentation
bin100110011100…
…1111001100000
31101221020110020
41030321321200
520130110341
62000033440
7333233535
oct114717140
941836406
1020160096
111041a640
126902880
13423b268
14296ad8c
151b83566
hex1339e60

20160096 has 96 divisors (see below), whose sum is σ = 61181568. Its totient is φ = 5744640.

The previous prime is 20160067. The next prime is 20160139. The reversal of 20160096 is 69006102.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17391 + ... + 18513.

It is an arithmetic number, because the mean of its divisors is an integer number (637308).

Almost surely, 220160096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30590784).

20160096 is an abundant number, since it is smaller than the sum of its proper divisors (41021472).

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

20160096 is a wasteful number, since it uses less digits than its factorization.

20160096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20160096 is about 4489.9995545657. Note that the first 3 decimals coincide. The cubic root of 20160096 is about 272.1641166433.

Adding to 20160096 its reverse (69006102), we get a palindrome (89166198).

The spelling of 20160096 in words is "twenty million, one hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1123 1496 1632 2244 2246 2992 3369 4488 4492 5984 6738 8976 8984 12353 13476 17952 17968 19091 24706 26952 35936 37059 38182 49412 53904 57273 74118 76364 98824 107808 114546 148236 152728 197648 210001 229092 296472 305456 395296 420002 458184 592944 610912 630003 840004 916368 1185888 1260006 1680008 1832736 2520012 3360016 5040024 6720032 10080048 20160096