Search a number
-
+
2700864 = 2634521
BaseRepresentation
bin1010010011011001000000
312002012220000
422103121000
51142411424
6133520000
731646145
oct12233100
95065800
102700864
111585221
12aa3000
1373745a
145043cc
153853c9
hex293640

2700864 has 70 divisors (see below), whose sum is σ = 8021574. Its totient is φ = 898560.

The previous prime is 2700853. The next prime is 2700881. The reversal of 2700864 is 4680072.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 627264 = 1440^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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, 4924 + ... + 5444.

22700864 is an apocalyptic number.

2700864 is a gapful number since it is divisible by the number (24) 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 2700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010787).

2700864 is an abundant number, since it is smaller than the sum of its proper divisors (5320710).

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

2700864 is an equidigital number, since it uses as much as digits as its factorization.

2700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2700864 is about 1643.4305583139. The cubic root of 2700864 is about 139.2625165086.

It can be divided in two parts, 27008 and 64, that added together give a palindrome (27072).

The spelling of 2700864 in words is "two million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 521 576 648 864 1042 1296 1563 1728 2084 2592 3126 4168 4689 5184 6252 8336 9378 12504 14067 16672 18756 25008 28134 33344 37512 42201 50016 56268 75024 84402 100032 112536 150048 168804 225072 300096 337608 450144 675216 900288 1350432 2700864