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26948560 = 245336857
BaseRepresentation
bin110011011001…
…1001111010000
31212201010110211
41212303033100
523344323220
62401333504
7445026142
oct146631720
955633424
1026948560
1114236941
129037294
1357770c2
143816c92
152574b5a
hex19b33d0

26948560 has 20 divisors (see below), whose sum is σ = 62655588. Its totient is φ = 10779392.

The previous prime is 26948557. The next prime is 26948561. The reversal of 26948560 is 6584962.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 9709456 = 4152^2 + 3116^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26948561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168349 + ... + 168508.

Almost surely, 226948560 is an apocalyptic number.

26948560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26948560 is an abundant number, since it is smaller than the sum of its proper divisors (35707028).

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

26948560 is a wasteful number, since it uses less digits than its factorization.

26948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336870 (or 336864 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 26948560 is about 5191.2002465711. The cubic root of 26948560 is about 299.8093603622.

The spelling of 26948560 in words is "twenty-six million, nine hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 336857 673714 1347428 1684285 2694856 3368570 5389712 6737140 13474280 26948560