Search a number
-
+
26836480 = 29511953
BaseRepresentation
bin110011001011…
…1111000000000
31212111102201201
41212113320000
523332231410
62355110544
7444051316
oct146277000
955442651
1026836480
111416a710
128ba2454
135738098
1437c80b6
15255183a
hex1997e00

26836480 has 80 divisors (see below), whose sum is σ = 70267824. Its totient is φ = 9748480.

The previous prime is 26836477. The next prime is 26836517. The reversal of 26836480 is 8463862.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27684 + ... + 28636.

Almost surely, 226836480 is an apocalyptic number.

26836480 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 26836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35133912).

26836480 is an abundant number, since it is smaller than the sum of its proper divisors (43431344).

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

26836480 is an equidigital number, since it uses as much as digits as its factorization.

26836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 26836480 is about 5180.3938074243. The cubic root of 26836480 is about 299.3931436159.

The spelling of 26836480 in words is "twenty-six million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 953 1280 1408 1760 1906 2560 2816 3520 3812 4765 5632 7040 7624 9530 10483 14080 15248 19060 20966 28160 30496 38120 41932 52415 60992 76240 83864 104830 121984 152480 167728 209660 243968 304960 335456 419320 487936 609920 670912 838640 1219840 1341824 1677280 2439680 2683648 3354560 5367296 6709120 13418240 26836480