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26946320 = 245336829
BaseRepresentation
bin110011011001…
…0101100010000
31212201000101212
41212302230100
523344240240
62401315252
7445016462
oct146625420
955630355
1026946320
1114235195
129035b28
13577608b
143816132
152574165
hex19b2b10

26946320 has 20 divisors (see below), whose sum is σ = 62650380. Its totient is φ = 10778496.

The previous prime is 26946299. The next prime is 26946329. The reversal of 26946320 is 2364962.

It can be written as a sum of positive squares in 2 ways, for example, as 8832784 + 18113536 = 2972^2 + 4256^2 .

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

It is a super-2 number, since 2×269463202 = 1452208323084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26946329) 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, 168335 + ... + 168494.

It is an arithmetic number, because the mean of its divisors is an integer number (3132519).

Almost surely, 226946320 is an apocalyptic number.

26946320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26946320 is an abundant number, since it is smaller than the sum of its proper divisors (35704060).

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

26946320 is a wasteful number, since it uses less digits than its factorization.

26946320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336842 (or 336836 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 26946320 is about 5190.9844923675. The cubic root of 26946320 is about 299.8010532817.

The spelling of 26946320 in words is "twenty-six million, nine hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 336829 673658 1347316 1684145 2694632 3368290 5389264 6736580 13473160 26946320