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26055680 = 21057727
BaseRepresentation
bin110001101100…
…1010000000000
31211000202200012
41203121100000
523132240210
62330244052
7434320040
oct143312000
954022605
1026055680
1113787022
128886628
135523881
143663720
15244a305
hex18d9400

26055680 has 88 divisors (see below), whose sum is σ = 71530368. Its totient is φ = 8921088.

The previous prime is 26055661. The next prime is 26055683. The reversal of 26055680 is 8655062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26055683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35477 + ... + 36203.

Almost surely, 226055680 is an apocalyptic number.

26055680 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 26055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35765184).

26055680 is an abundant number, since it is smaller than the sum of its proper divisors (45474688).

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

26055680 is an equidigital number, since it uses as much as digits as its factorization.

26055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 26055680 is about 5104.4764667887. The cubic root of 26055680 is about 296.4609327007.

The spelling of 26055680 in words is "twenty-six million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 727 896 1024 1120 1280 1454 1792 2240 2560 2908 3584 3635 4480 5089 5120 5816 7168 7270 8960 10178 11632 14540 17920 20356 23264 25445 29080 35840 40712 46528 50890 58160 81424 93056 101780 116320 162848 186112 203560 232640 325696 372224 407120 465280 651392 744448 814240 930560 1302784 1628480 1861120 2605568 3256960 3722240 5211136 6513920 13027840 26055680