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26140320 = 253452017
BaseRepresentation
bin110001110110…
…1111010100000
31211012001210000
41203231322200
523142442240
62332140000
7435121563
oct143557240
954161700
1026140320
1113834678
128907600
13555325b
1436864da
152465430
hex18edea0

26140320 has 120 divisors (see below), whose sum is σ = 92299284. Its totient is φ = 6967296.

The previous prime is 26140313. The next prime is 26140327. The reversal of 26140320 is 2304162.

It is a happy number.

26140320 is a `hidden beast` number, since 261 + 403 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26140313) and next prime (26140327).

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 374544 = 5076^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26140293 and 26140302.

It is not an unprimeable number, because it can be changed into a prime (26140327) 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 19 ways as a sum of consecutive naturals, for example, 11952 + ... + 13968.

Almost surely, 226140320 is an apocalyptic number.

26140320 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 26140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46149642).

26140320 is an abundant number, since it is smaller than the sum of its proper divisors (66158964).

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

26140320 is a wasteful number, since it uses less digits than its factorization.

26140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26140320 is about 5112.7605068104. The cubic root of 26140320 is about 296.7815963964.

Adding to 26140320 its reverse (2304162), we get a palindrome (28444482).

The spelling of 26140320 in words is "twenty-six million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2017 2160 2592 3240 4034 4320 6051 6480 8068 10085 12102 12960 16136 18153 20170 24204 30255 32272 36306 40340 48408 54459 60510 64544 72612 80680 90765 96816 108918 121020 145224 161360 163377 181530 193632 217836 242040 272295 290448 322720 326754 363060 435672 484080 544590 580896 653508 726120 816885 871344 968160 1089180 1307016 1452240 1633770 1742688 2178360 2614032 2904480 3267540 4356720 5228064 6535080 8713440 13070160 26140320