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26423040 = 28357983
BaseRepresentation
bin110010011001…
…0111100000000
31211201102121010
41210302330000
523231014130
62342200520
7440410050
oct144627400
954642533
1026423040
1113a08026
128a23140
135621b47
14371b560
1524be0b0
hex1932f00

26423040 has 144 divisors (see below), whose sum is σ = 96542208. Its totient is φ = 6033408.

The previous prime is 26423039. The next prime is 26423057. The reversal of 26423040 is 4032462.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 26422998 and 26423016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26389 + ... + 27371.

It is an arithmetic number, because the mean of its divisors is an integer number (670432).

Almost surely, 226423040 is an apocalyptic number.

26423040 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 26423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48271104).

26423040 is an abundant number, since it is smaller than the sum of its proper divisors (70119168).

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

26423040 is an equidigital number, since it uses as much as digits as its factorization.

26423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 26423040 is about 5140.3346194582. The cubic root of 26423040 is about 297.8477068180.

The spelling of 26423040 in words is "twenty-six million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 983 1120 1280 1344 1680 1792 1920 1966 2240 2688 2949 3360 3840 3932 4480 4915 5376 5898 6720 6881 7864 8960 9830 11796 13440 13762 14745 15728 19660 20643 23592 26880 27524 29490 31456 34405 39320 41286 47184 55048 58980 62912 68810 78640 82572 94368 103215 110096 117960 125824 137620 157280 165144 188736 206430 220192 235920 251648 275240 314560 330288 377472 412860 440384 471840 550480 629120 660576 754944 825720 880768 943680 1100960 1258240 1321152 1651440 1761536 1887360 2201920 2642304 3302880 3774720 4403840 5284608 6605760 8807680 13211520 26423040