Search a number
-
+
266841920 = 2656531277
BaseRepresentation
bin11111110011110…
…10111101000000
3200121002222022002
433321322331000
51021302420140
642251203132
76420055532
oct1771727500
9617088262
10266841920
11127697314
12754464a8
134338b537
1427621852
151865e415
hexfe7af40

266841920 has 56 divisors (see below), whose sum is σ = 636888744. Its totient is φ = 106489856.

The previous prime is 266841917. The next prime is 266841943. The reversal of 266841920 is 29148662.

It can be written as a sum of positive squares in 4 ways, for example, as 17707264 + 249134656 = 4208^2 + 15784^2 .

It is a super-2 number, since 2×2668419202 = 142409220538572800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208322 + ... + 209598.

Almost surely, 2266841920 is an apocalyptic number.

266841920 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 266841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318444372).

266841920 is an abundant number, since it is smaller than the sum of its proper divisors (370046824).

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

266841920 is a wasteful number, since it uses less digits than its factorization.

266841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 266841920 is about 16335.2967527376. The cubic root of 266841920 is about 643.8005632198.

The spelling of 266841920 in words is "two hundred sixty-six million, eight hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 653 1277 1306 2554 2612 3265 5108 5224 6385 6530 10216 10448 12770 13060 20432 20896 25540 26120 40864 41792 51080 52240 81728 102160 104480 204320 208960 408640 833881 1667762 3335524 4169405 6671048 8338810 13342096 16677620 26684192 33355240 53368384 66710480 133420960 266841920