Search a number
-
+
26045160 = 23351271709
BaseRepresentation
bin110001101011…
…0101011101000
31211000020020120
41203112223220
523131421120
62330123240
7434244261
oct143265350
954006216
1026045160
111377a129
128880520
13551bb4b
14365d968
152447140
hex18d6ae8

26045160 has 64 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 6886656.

The previous prime is 26045147. The next prime is 26045167. The reversal of 26045160 is 6154062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26045160.

It is not an unprimeable number, because it can be changed into a prime (26045167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14386 + ... + 16094.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 226045160 is an apocalyptic number.

26045160 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 26045160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

26045160 is an abundant number, since it is smaller than the sum of its proper divisors (52751640).

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

26045160 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 26045160 = (54006216)9.

26045160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 26045160 is about 5103.4458946872. The cubic root of 26045160 is about 296.4210285565.

The spelling of 26045160 in words is "twenty-six million, forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1709 1905 2540 3048 3418 3810 5080 5127 6836 7620 8545 10254 13672 15240 17090 20508 25635 34180 41016 51270 68360 102540 205080 217043 434086 651129 868172 1085215 1302258 1736344 2170430 2604516 3255645 4340860 5209032 6511290 8681720 13022580 26045160