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26245980 = 223251391049
BaseRepresentation
bin110010000011…
…1101101011100
31211101102201100
41210013231130
523204332410
62334313100
7436041615
oct144075534
954342640
1026245980
11138a6aa2
128958790
13558c387
1436b2c0c
1524868c0
hex1907b5c

26245980 has 72 divisors (see below), whose sum is σ = 80262000. Its totient is φ = 6941952.

The previous prime is 26245963. The next prime is 26245997. The reversal of 26245980 is 8954262.

It is a happy number.

26245980 is a `hidden beast` number, since 2 + 62 + 4 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26245963) and next prime (26245997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24496 + ... + 25544.

It is an arithmetic number, because the mean of its divisors is an integer number (1114750).

Almost surely, 226245980 is an apocalyptic number.

26245980 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 26245980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40131000).

26245980 is an abundant number, since it is smaller than the sum of its proper divisors (54016020).

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

26245980 is a wasteful number, since it uses less digits than its factorization.

26245980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 26245980 is about 5123.0830561294. The cubic root of 26245980 is about 297.1809257105.

It can be divided in two parts, 26245 and 980, that added together give a square (27225 = 1652).

The spelling of 26245980 in words is "twenty-six million, two hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1049 1251 1390 1668 2085 2098 2502 2780 3147 4170 4196 5004 5245 6255 6294 8340 9441 10490 12510 12588 15735 18882 20980 25020 31470 37764 47205 62940 94410 145811 188820 291622 437433 583244 729055 874866 1312299 1458110 1749732 2187165 2624598 2916220 4374330 5249196 6561495 8748660 13122990 26245980