Search a number
-
+
26394480 = 2432575237
BaseRepresentation
bin110010010101…
…1111101110000
31211122222102100
41210223331300
523224110410
62341420400
7440230560
oct144537560
954588370
1026394480
1113998622
128a0a700
135611b48
143710da0
1524b58c0
hex192bf70

26394480 has 120 divisors (see below), whose sum is σ = 101323872. Its totient is φ = 6031872.

The previous prime is 26394479. The next prime is 26394491. The reversal of 26394480 is 8449362.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2422 + ... + 7658.

Almost surely, 226394480 is an apocalyptic number.

26394480 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 26394480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661936).

26394480 is an abundant number, since it is smaller than the sum of its proper divisors (74929392).

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

26394480 is a wasteful number, since it uses less digits than its factorization.

26394480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 26394480 is about 5137.5558391126. Note that the first 3 decimals coincide. The cubic root of 26394480 is about 297.7403560971.

The spelling of 26394480 in words is "twenty-six million, three hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 5237 10474 15711 20948 26185 31422 36659 41896 47133 52370 62844 73318 78555 83792 94266 104740 109977 125688 146636 157110 183295 188532 209480 219954 235665 251376 293272 314220 329931 366590 377064 418960 439908 471330 549885 586544 628440 659862 733180 754128 879816 942660 1099770 1256880 1319724 1466360 1649655 1759632 1885320 2199540 2639448 2932720 3299310 3770640 4399080 5278896 6598620 8798160 13197240 26394480