Search a number
-
+
26316480 = 263579347
BaseRepresentation
bin110010001100…
…0111011000000
31211112000102110
41210120323000
523214111410
62340015320
7436454301
oct144307300
954460373
1026316480
1113944a63
128991540
1355b54a8
1436d07a8
15249c720
hex1918ec0

26316480 has 112 divisors (see below), whose sum is σ = 84856320. Its totient is φ = 6908928.

The previous prime is 26316449. The next prime is 26316481. The reversal of 26316480 is 8461362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26316481) 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, 75667 + ... + 76013.

Almost surely, 226316480 is an apocalyptic number.

26316480 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 26316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428160).

26316480 is an abundant number, since it is smaller than the sum of its proper divisors (58539840).

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

26316480 is a wasteful number, since it uses less digits than its factorization.

26316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 26316480 is about 5129.9590641642. The cubic root of 26316480 is about 297.4467762518.

It can be divided in two parts, 26316 and 480, that added together give a triangular number (26796 = T231).

The spelling of 26316480 in words is "twenty-six million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 347 395 474 480 632 694 790 948 960 1041 1185 1264 1388 1580 1735 1896 2082 2370 2528 2776 3160 3470 3792 4164 4740 5056 5205 5552 6320 6940 7584 8328 9480 10410 11104 12640 13880 15168 16656 18960 20820 22208 25280 27413 27760 33312 37920 41640 54826 55520 66624 75840 82239 83280 109652 111040 137065 164478 166560 219304 274130 328956 333120 411195 438608 548260 657912 822390 877216 1096520 1315824 1644780 1754432 2193040 2631648 3289560 4386080 5263296 6579120 8772160 13158240 26316480