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26121940 = 22513100469
BaseRepresentation
bin110001110100…
…1011011010100
31211011010120021
41203221123110
523141400230
62331514524
7435014155
oct143513324
954133507
1026121940
1113821889
1288b8a44
135547a90
14367d92c
15245ec7a
hex18e96d4

26121940 has 24 divisors (see below), whose sum is σ = 59076360. Its totient is φ = 9644928.

The previous prime is 26121937. The next prime is 26121947. The reversal of 26121940 is 4912162.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 22867524 = 1804^2 + 4782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26121947) 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 7 ways as a sum of consecutive naturals, for example, 49975 + ... + 50494.

It is an arithmetic number, because the mean of its divisors is an integer number (2461515).

Almost surely, 226121940 is an apocalyptic number.

26121940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26121940 is an abundant number, since it is smaller than the sum of its proper divisors (32954420).

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

26121940 is a wasteful number, since it uses less digits than its factorization.

26121940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100491 (or 100489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 26121940 is about 5110.9627273147. The cubic root of 26121940 is about 296.7120215694.

It can be divided in two parts, 261 and 21940, that added together give a square (22201 = 1492).

The spelling of 26121940 in words is "twenty-six million, one hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 100469 200938 401876 502345 1004690 1306097 2009380 2612194 5224388 6530485 13060970 26121940