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26220880 = 245726689
BaseRepresentation
bin110010000000…
…1100101010000
31211100011021201
41210001211100
523203032010
62334000544
7435605500
oct144014520
954304251
1026220880
111388a154
128946154
135580b1a
1436a7a00
15247e23a
hex1901950

26220880 has 60 divisors (see below), whose sum is σ = 70927380. Its totient is φ = 8988672.

The previous prime is 26220847. The next prime is 26220881. The reversal of 26220880 is 8802262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16032016 + 10188864 = 4004^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26220881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576 + ... + 7264.

It is an arithmetic number, because the mean of its divisors is an integer number (1182123).

Almost surely, 226220880 is an apocalyptic number.

26220880 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 26220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35463690).

26220880 is an abundant number, since it is smaller than the sum of its proper divisors (44706500).

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

26220880 is a wasteful number, since it uses less digits than its factorization.

26220880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 26220880 is about 5120.6327733982. The cubic root of 26220880 is about 297.0861604633.

The spelling of 26220880 in words is "twenty-six million, two hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 6689 13378 26756 33445 46823 53512 66890 93646 107024 133780 187292 234115 267560 327761 374584 468230 535120 655522 749168 936460 1311044 1638805 1872920 2622088 3277610 3745840 5244176 6555220 13110440 26220880