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26361040 = 245433761
BaseRepresentation
bin110010010001…
…1110011010000
31211121021112211
41210203303100
523222023130
62341001504
7440031226
oct144436320
954537484
1026361040
1113975492
1289b3294
1355cc864
143702b16
1524aaa2a
hex1923cd0

26361040 has 40 divisors (see below), whose sum is σ = 61511688. Its totient is φ = 10506240.

The previous prime is 26361007. The next prime is 26361061. The reversal of 26361040 is 4016362.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 24522304 = 1356^2 + 4952^2 .

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34260 + ... + 35020.

Almost surely, 226361040 is an apocalyptic number.

26361040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26361040 is an abundant number, since it is smaller than the sum of its proper divisors (35150648).

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

26361040 is a wasteful number, since it uses less digits than its factorization.

26361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 26361040 is about 5134.3003418187. The cubic root of 26361040 is about 297.6145640732.

The spelling of 26361040 in words is "twenty-six million, three hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 433 761 866 1522 1732 2165 3044 3464 3805 4330 6088 6928 7610 8660 12176 15220 17320 30440 34640 60880 329513 659026 1318052 1647565 2636104 3295130 5272208 6590260 13180520 26361040