Search a number
-
+
266471424 = 211336179
BaseRepresentation
bin11111110001000…
…00100000000000
3200120102011002000
433320200200000
51021204041144
642235224000
76413653422
oct1770404000
9616364060
10266471424
11127463a1a
12752a8000
134328b9cb
1427566812
15185d9769
hexfe20800

266471424 has 192 divisors, whose sum is σ = 812448000. Its totient is φ = 86261760.

The previous prime is 266471419. The next prime is 266471467. The reversal of 266471424 is 424174662.

266471424 is a `hidden beast` number, since 2 + 6 + 647 + 1 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3373017 + ... + 3373095.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2266471424 is an apocalyptic number.

266471424 is a gapful number since it is divisible by the number (24) 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 266471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

266471424 is an abundant number, since it is smaller than the sum of its proper divisors (545976576).

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

266471424 is an equidigital number, since it uses as much as digits as its factorization.

266471424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 266471424 is about 16323.9524625625. The cubic root of 266471424 is about 643.5024641154.

It can be divided in two parts, 2664 and 71424, that added together give a cube (74088 = 423).

The spelling of 266471424 in words is "two hundred sixty-six million, four hundred seventy-one thousand, four hundred twenty-four".