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26213440 = 265112677
BaseRepresentation
bin110001111111…
…1110001000000
31211022210002011
41203333301000
523202312230
62333502304
7435545011
oct143776100
954283064
1026213440
1113884600
128941994
13557a616
1436a5008
15247be2a
hex18ffc40

26213440 has 84 divisors (see below), whose sum is σ = 68712588. Its totient is φ = 9518080.

The previous prime is 26213417. The next prime is 26213459. The reversal of 26213440 is 4431262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 6071296 = 4488^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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 11 ways as a sum of consecutive naturals, for example, 38382 + ... + 39058.

It is an arithmetic number, because the mean of its divisors is an integer number (818007).

Almost surely, 226213440 is an apocalyptic number.

26213440 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 26213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34356294).

26213440 is an abundant number, since it is smaller than the sum of its proper divisors (42499148).

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

26213440 is a wasteful number, since it uses less digits than its factorization.

26213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 26213440 is about 5119.9062491417. The cubic root of 26213440 is about 297.0580590657.

The spelling of 26213440 in words is "twenty-six million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 677 704 880 968 1210 1354 1760 1936 2420 2708 3385 3520 3872 4840 5416 6770 7447 7744 9680 10832 13540 14894 19360 21664 27080 29788 37235 38720 43328 54160 59576 74470 81917 108320 119152 148940 163834 216640 238304 297880 327668 409585 476608 595760 655336 819170 1191520 1310672 1638340 2383040 2621344 3276680 5242688 6553360 13106720 26213440