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26997760 = 21055273
BaseRepresentation
bin110011011111…
…1010000000000
31212210121222001
41212333100000
523402412020
62402353344
7445322446
oct146772000
955717861
1026997760
111426a8a9
12905b854
13579360a
14382ab96
15258450a
hex19bf400

26997760 has 44 divisors (see below), whose sum is σ = 64775268. Its totient is φ = 10797056.

The previous prime is 26997713. The next prime is 26997769. The reversal of 26997760 is 6779962.

It can be written as a sum of positive squares in 2 ways, for example, as 11505664 + 15492096 = 3392^2 + 3936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26997760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26997769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2484 + ... + 7756.

Almost surely, 226997760 is an apocalyptic number.

26997760 is a gapful number since it is divisible by the number (20) 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 26997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387634).

26997760 is an abundant number, since it is smaller than the sum of its proper divisors (37777508).

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

26997760 is an equidigital number, since it uses as much as digits as its factorization.

26997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 26997760 is about 5195.9368741354. The cubic root of 26997760 is about 299.9917034743.

The spelling of 26997760 in words is "twenty-six million, nine hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 5273 10546 21092 26365 42184 52730 84368 105460 168736 210920 337472 421840 674944 843680 1349888 1687360 2699776 3374720 5399552 6749440 13498880 26997760