Search a number
-
+
16812096 = 263721787
BaseRepresentation
bin100000000100…
…0100001000000
31011122010212020
41000020201000
513300441341
61400201440
7262620600
oct100104100
934563766
1016812096
1195431a4
125769280
1336383b2
142338c00
151721566
hex1008840

16812096 has 84 divisors (see below), whose sum is σ = 51773328. Its totient is φ = 4800768.

The previous prime is 16812073. The next prime is 16812127. The reversal of 16812096 is 69021861.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8515 + ... + 10301.

Almost surely, 216812096 is an apocalyptic number.

16812096 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 16812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25886664).

16812096 is an abundant number, since it is smaller than the sum of its proper divisors (34961232).

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

16812096 is a wasteful number, since it uses less digits than its factorization.

16812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 16812096 is about 4100.2556017887. The cubic root of 16812096 is about 256.1772860510.

The spelling of 16812096 in words is "sixteen million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 1787 2352 3136 3574 4704 5361 7148 9408 10722 12509 14296 21444 25018 28592 37527 42888 50036 57184 75054 85776 87563 100072 114368 150108 171552 175126 200144 262689 300216 343104 350252 400288 525378 600432 700504 800576 1050756 1200864 1401008 2101512 2401728 2802016 4203024 5604032 8406048 16812096