Search a number
-
+
26169840 = 24325191913
BaseRepresentation
bin110001111010…
…1000111110000
31211020120021100
41203311013300
523144413330
62332524400
7435303624
oct143650760
954216240
1026169840
1113854874
128920700
135563818
143693184
15246e060
hex18f51f0

26169840 has 120 divisors (see below), whose sum is σ = 92561040. Its totient is φ = 6607872.

The previous prime is 26169833. The next prime is 26169887. The reversal of 26169840 is 4896162.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 26169795 and 26169804.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12724 + ... + 14636.

It is an arithmetic number, because the mean of its divisors is an integer number (771342).

Almost surely, 226169840 is an apocalyptic number.

26169840 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 26169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46280520).

26169840 is an abundant number, since it is smaller than the sum of its proper divisors (66391200).

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

26169840 is a wasteful number, since it uses less digits than its factorization.

26169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26169840 is about 5115.6465866985. The cubic root of 26169840 is about 296.8932718578.

The spelling of 26169840 in words is "twenty-six million, one hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 1913 2280 2736 3420 3826 4560 5739 6840 7652 9565 11478 13680 15304 17217 19130 22956 28695 30608 34434 36347 38260 45912 57390 68868 72694 76520 86085 91824 109041 114780 137736 145388 153040 172170 181735 218082 229560 275472 290776 327123 344340 363470 436164 459120 545205 581552 654246 688680 726940 872328 1090410 1308492 1377360 1453880 1635615 1744656 2180820 2616984 2907760 3271230 4361640 5233968 6542460 8723280 13084920 26169840