Search a number
-
+
16265000 = 23543253
BaseRepresentation
bin111110000010…
…111100101000
31010121100101102
4332002330220
513130440000
61340340532
7255151553
oct76027450
933540342
1016265000
1191aa154
125544748
1334a637b
14223569a
1516643d5
hexf82f28

16265000 has 40 divisors (see below), whose sum is σ = 38120610. Its totient is φ = 6504000.

The previous prime is 16264999. The next prime is 16265023. The reversal of 16265000 is 56261.

16265000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3290596 + 12974404 = 1814^2 + 3602^2 .

It is a sliding number, since 16265000 = 640000 + 15625000 and 1/640000 + 1/15625000 = 0.0000016265000.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

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, 3374 + ... + 6626.

Almost surely, 216265000 is an apocalyptic number.

16265000 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 16265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060305).

16265000 is an abundant number, since it is smaller than the sum of its proper divisors (21855610).

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

16265000 is an equidigital number, since it uses as much as digits as its factorization.

16265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 16265000 is about 4032.9889660152. The cubic root of 16265000 is about 253.3677623260.

The spelling of 16265000 in words is "sixteen million, two hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3253 5000 6506 13012 16265 26024 32530 65060 81325 130120 162650 325300 406625 650600 813250 1626500 2033125 3253000 4066250 8132500 16265000