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26240000 = 2105441
BaseRepresentation
bin110010000011…
…0010000000000
31211101010111212
41210012100000
523204140000
62334225252
7436015313
oct144062000
954333455
1026240000
11138a2556
128955228
135589737
1436b097a
152484c35
hex1906400

26240000 has 110 divisors (see below), whose sum is σ = 67145694. Its totient is φ = 10240000.

The previous prime is 26239999. The next prime is 26240017. The reversal of 26240000 is 4262.

It can be written as a sum of positive squares in 5 ways, for example, as 17572864 + 8667136 = 4192^2 + 2944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639980 + ... + 640020.

Almost surely, 226240000 is an apocalyptic number.

26240000 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 26240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572847).

26240000 is an abundant number, since it is smaller than the sum of its proper divisors (40905694).

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

26240000 is an frugal number, since it uses more digits than its factorization.

26240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 26240000 is about 5122.4993899463. The cubic root of 26240000 is about 297.1583536579.

Adding to 26240000 its reverse (4262), we get a palindrome (26244262).

The spelling of 26240000 in words is "twenty-six million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 625 640 656 800 820 1000 1024 1025 1250 1280 1312 1600 1640 2000 2050 2500 2560 2624 3200 3280 4000 4100 5000 5120 5125 5248 6400 6560 8000 8200 10000 10250 10496 12800 13120 16000 16400 20000 20500 20992 25600 25625 26240 32000 32800 40000 41000 41984 51250 52480 64000 65600 80000 82000 102500 104960 128000 131200 160000 164000 205000 209920 262400 320000 328000 410000 524800 640000 656000 820000 1049600 1312000 1640000 2624000 3280000 5248000 6560000 13120000 26240000