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16160000 = 2854101
BaseRepresentation
bin111101101001…
…010100000000
31010102000100112
4331221110000
513114110000
61334210452
7254233463
oct75512400
933360315
1016160000
11913827a
1254b3a28
13346a63c
1422092da
151643235
hexf69500

16160000 has 90 divisors (see below), whose sum is σ = 40707282. Its totient is φ = 6400000.

The previous prime is 16159991. The next prime is 16160033. The reversal of 16160000 is 6161.

It can be written as a sum of positive squares in 5 ways, for example, as 2262016 + 13897984 = 1504^2 + 3728^2 .

It is a super-2 number, since 2×161600002 = 522291200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159950 + ... + 160050.

Almost surely, 216160000 is an apocalyptic number.

16160000 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 16160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353641).

16160000 is an abundant number, since it is smaller than the sum of its proper divisors (24547282).

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

16160000 is an frugal number, since it uses more digits than its factorization.

16160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 16160000 is about 4019.9502484484. The cubic root of 16160000 is about 252.8213729727.

Adding to 16160000 its reverse (6161), we get a palindrome (16166161).

It can be divided in two parts, 16 and 160000, that multiplied together give a 4-th power (2560000 = 404).

The spelling of 16160000 in words is "sixteen million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 256 320 400 404 500 505 625 640 800 808 1000 1010 1250 1280 1600 1616 2000 2020 2500 2525 3200 3232 4000 4040 5000 5050 6400 6464 8000 8080 10000 10100 12625 12928 16000 16160 20000 20200 25250 25856 32000 32320 40000 40400 50500 63125 64640 80000 80800 101000 126250 129280 160000 161600 202000 252500 323200 404000 505000 646400 808000 1010000 1616000 2020000 3232000 4040000 8080000 16160000