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26431020 = 223257111907
BaseRepresentation
bin110010011010…
…0111000101100
31211201211112200
41210310320230
523231243040
62342301500
7440442240
oct144647054
954654480
1026431020
1113a13020
128a27890
135625675
143720420
1524c1630
hex1934e2c

26431020 has 144 divisors (see below), whose sum is σ = 100009728. Its totient is φ = 5489280.

The previous prime is 26431001. The next prime is 26431049. The reversal of 26431020 is 2013462.

It is a happy number.

26431020 is a `hidden beast` number, since 2 + 643 + 1 + 0 + 20 = 666.

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 = 26430984 and 26431002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12907 + ... + 14813.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 226431020 is an apocalyptic number.

26431020 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 26431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50004864).

26431020 is an abundant number, since it is smaller than the sum of its proper divisors (73578708).

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

26431020 is a wasteful number, since it uses less digits than its factorization.

26431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1935 counting only the distinct ones).

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

The square root of 26431020 is about 5141.1107749201. The cubic root of 26431020 is about 297.8776880448.

Adding to 26431020 its reverse (2013462), we get a palindrome (28444482).

It can be divided in two parts, 2643 and 1020, that added together give a palindrome (3663).

The spelling of 26431020 in words is "twenty-six million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1907 1980 2310 2772 3465 3814 4620 5721 6930 7628 9535 11442 13349 13860 17163 19070 20977 22884 26698 28605 34326 38140 40047 41954 53396 57210 62931 66745 68652 80094 83908 85815 104885 114420 120141 125862 133490 146839 160188 171630 188793 200235 209770 240282 251724 266980 293678 314655 343260 377586 400470 419540 440517 480564 587356 600705 629310 734195 755172 800940 881034 943965 1201410 1258620 1321551 1468390 1762068 1887930 2202585 2402820 2643102 2936780 3775860 4405170 5286204 6607755 8810340 13215510 26431020