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16996000 = 25537607
BaseRepresentation
bin100000011010…
…1011010100000
31011222111010111
41000311122200
513322333000
61404141104
7264315010
oct100653240
934874114
1016996000
11965938a
125837794
1336a1008
142385c40
15175acba
hex10356a0

16996000 has 96 divisors (see below), whose sum is σ = 47803392. Its totient is φ = 5817600.

The previous prime is 16995989. The next prime is 16996009. The reversal of 16996000 is 69961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16996009) 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, 27697 + ... + 28303.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 216996000 is an apocalyptic number.

16996000 is a gapful number since it is divisible by the number (10) 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 16996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

16996000 is an abundant number, since it is smaller than the sum of its proper divisors (30807392).

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

16996000 is an equidigital number, since it uses as much as digits as its factorization.

16996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 16996000 is about 4122.6205258306. The cubic root of 16996000 is about 257.1079905695.

It can be divided in two parts, 169 and 96000, that added together give a palindrome (96169).

The spelling of 16996000 in words is "sixteen million, nine hundred ninety-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 607 700 800 875 1000 1120 1214 1400 1750 2000 2428 2800 3035 3500 4000 4249 4856 5600 6070 7000 8498 9712 12140 14000 15175 16996 19424 21245 24280 28000 30350 33992 42490 48560 60700 67984 75875 84980 97120 106225 121400 135968 151750 169960 212450 242800 303500 339920 424900 485600 531125 607000 679840 849800 1062250 1214000 1699600 2124500 2428000 3399200 4249000 8498000 16996000