Search a number
-
+
26087280 = 2435731489
BaseRepresentation
bin110001110000…
…0111101110000
31211002101000120
41203200331300
523134243110
62331050240
7434511132
oct143407560
954071016
1026087280
11137a883a
1288a0980
13553507b
143671052
152454870
hex18e0f70

26087280 has 80 divisors (see below), whose sum is σ = 82033440. Its totient is φ = 6856704.

The previous prime is 26087261. The next prime is 26087287. The reversal of 26087280 is 8278062.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26087287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16776 + ... + 18264.

It is an arithmetic number, because the mean of its divisors is an integer number (1025418).

Almost surely, 226087280 is an apocalyptic number.

26087280 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 26087280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41016720).

26087280 is an abundant number, since it is smaller than the sum of its proper divisors (55946160).

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

26087280 is a wasteful number, since it uses less digits than its factorization.

26087280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 26087280 is about 5107.5708511973. The cubic root of 26087280 is about 296.5807323097.

The spelling of 26087280 in words is "twenty-six million, eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1489 1752 2190 2920 2978 3504 4380 4467 5840 5956 7445 8760 8934 11912 14890 17520 17868 22335 23824 29780 35736 44670 59560 71472 89340 108697 119120 178680 217394 326091 357360 434788 543485 652182 869576 1086970 1304364 1630455 1739152 2173940 2608728 3260910 4347880 5217456 6521820 8695760 13043640 26087280