Search a number
-
+
26389980 = 22325271541
BaseRepresentation
bin110010010101…
…0110111011100
31211122202020200
41210222313130
523223434410
62341343500
7440211501
oct144526734
954582220
1026389980
1113995201
128a07b90
13560ca96
14370d4a8
1524b43c0
hex192addc

26389980 has 72 divisors (see below), whose sum is σ = 80493504. Its totient is φ = 6998400.

The previous prime is 26389963. The next prime is 26389997. The reversal of 26389980 is 8998362.

26389980 = T1 + T2 + ... + T540.

26389980 is a `hidden beast` number, since 2 + 638 + 9 + 9 + 8 + 0 = 666.

26389980 is a nontrivial binomial coefficient, being equal to C(542, 3).

It is an interprime number because it is at equal distance from previous prime (26389963) and next prime (26389997).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is the 540-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48510 + ... + 49050.

Almost surely, 226389980 is an apocalyptic number.

26389980 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 26389980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40246752).

26389980 is an abundant number, since it is smaller than the sum of its proper divisors (54103524).

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

26389980 is a wasteful number, since it uses less digits than its factorization.

26389980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 26389980 is about 5137.1178690001. The cubic root of 26389980 is about 297.7234345317.

The spelling of 26389980 in words is "twenty-six million, three hundred eighty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 541 542 813 1082 1084 1355 1623 1626 2164 2439 2705 2710 3246 3252 4065 4869 4878 5410 5420 6492 8115 8130 9738 9756 10820 12195 16230 16260 19476 24345 24390 32460 48690 48780 97380 146611 293222 439833 586444 733055 879666 1319499 1466110 1759332 2199165 2638998 2932220 4398330 5277996 6597495 8796660 13194990 26389980