Search a number
-
+
26893080 = 2333537673
BaseRepresentation
bin110011010010…
…1101100011000
31212121022101000
41212211230120
523341034310
62400225000
7444405324
oct146455430
955538330
1026893080
11141a9195
12900b160
135757a86
143800984
1525634c0
hex19a5b18

26893080 has 128 divisors (see below), whose sum is σ = 92203200. Its totient is φ = 6967296.

The previous prime is 26893067. The next prime is 26893081. The reversal of 26893080 is 8039862.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26893081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39624 + ... + 40296.

Almost surely, 226893080 is an apocalyptic number.

26893080 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 26893080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101600).

26893080 is an abundant number, since it is smaller than the sum of its proper divisors (65310120).

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

26893080 is a wasteful number, since it uses less digits than its factorization.

26893080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

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

The square root of 26893080 is about 5185.8538351944. The cubic root of 26893080 is about 299.6034761270.

The spelling of 26893080 in words is "twenty-six million, eight hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 673 740 888 999 1080 1110 1332 1346 1480 1665 1998 2019 2220 2664 2692 3330 3365 3996 4038 4440 4995 5384 6057 6660 6730 7992 8076 9990 10095 12114 13320 13460 16152 18171 19980 20190 24228 24901 26920 30285 36342 39960 40380 48456 49802 60570 72684 74703 80760 90855 99604 121140 124505 145368 149406 181710 199208 224109 242280 249010 298812 363420 373515 448218 498020 597624 672327 726840 747030 896436 996040 1120545 1344654 1494060 1792872 2241090 2689308 2988120 3361635 4482180 5378616 6723270 8964360 13446540 26893080