Search a number
-
+
21260160 = 273253691
BaseRepresentation
bin101000100011…
…0011110000000
31111000010110100
41101012132000
520420311120
62035402400
7345464655
oct121063600
944003410
1021260160
1111001089
127153400
134534b9c
142b75c2c
151cee490
hex1446780

21260160 has 96 divisors (see below), whose sum is σ = 73433880. Its totient is φ = 5667840.

The previous prime is 21260153. The next prime is 21260171. The reversal of 21260160 is 6106212.

It is a happy number.

21260160 is a `hidden beast` number, since 2 + 1 + 2 + 601 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3915 + ... + 7605.

Almost surely, 221260160 is an apocalyptic number.

21260160 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 21260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36716940).

21260160 is an abundant number, since it is smaller than the sum of its proper divisors (52173720).

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

21260160 is a wasteful number, since it uses less digits than its factorization.

21260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21260160 is about 4610.8741036814. The cubic root of 21260160 is about 277.0270492772.

Adding to 21260160 its reverse (6106212), we get a palindrome (27366372).

The spelling of 21260160 in words is "twenty-one million, two hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3691 5760 7382 11073 14764 18455 22146 29528 33219 36910 44292 55365 59056 66438 73820 88584 110730 118112 132876 147640 166095 177168 221460 236224 265752 295280 332190 354336 442920 472448 531504 590560 664380 708672 885840 1063008 1181120 1328760 1417344 1771680 2126016 2362240 2657520 3543360 4252032 5315040 7086720 10630080 21260160