Search a number
-
+
26987280 = 2435234889
BaseRepresentation
bin110011011110…
…0101100010000
31212210002120220
41212330230100
523402043110
62402233040
7445250055
oct146745420
955702526
1026987280
1114262a41
129055780
13578b908
14382702c
152581370
hex19bcb10

26987280 has 80 divisors (see below), whose sum is σ = 87315840. Its totient is φ = 6882304.

The previous prime is 26987209. The next prime is 26987291. The reversal of 26987280 is 8278962.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3076 + ... + 7964.

It is an arithmetic number, because the mean of its divisors is an integer number (1091448).

Almost surely, 226987280 is an apocalyptic number.

26987280 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 26987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43657920).

26987280 is an abundant number, since it is smaller than the sum of its proper divisors (60328560).

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

26987280 is a wasteful number, since it uses less digits than its factorization.

26987280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 26987280 is about 5194.9282959440. The cubic root of 26987280 is about 299.9528814888.

The spelling of 26987280 in words is "twenty-six million, nine hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 4889 5520 9778 14667 19556 24445 29334 39112 48890 58668 73335 78224 97780 112447 117336 146670 195560 224894 234672 293340 337341 391120 449788 562235 586680 674682 899576 1124470 1173360 1349364 1686705 1799152 2248940 2698728 3373410 4497880 5397456 6746820 8995760 13493640 26987280