[go: up one dir, main page]

Search a number
-
+
266351360 = 2851118917
BaseRepresentation
bin11111110000000…
…11001100000000
3200120012001101012
433320003030000
51021141220420
642232500052
76412643402
oct1770031400
9616161335
10266351360
111273917a0
127524a628
1343249172
1427534b72
15185b3dc5
hexfe03300

266351360 has 72 divisors (see below), whose sum is σ = 696031056. Its totient is φ = 96849920.

The previous prime is 266351353. The next prime is 266351369. The reversal of 266351360 is 63153662.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (266351369) by changing a digit.

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, 4622 + ... + 23538.

It is an arithmetic number, because the mean of its divisors is an integer number (9667098).

Almost surely, 2266351360 is an apocalyptic number.

266351360 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 266351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348015528).

266351360 is an abundant number, since it is smaller than the sum of its proper divisors (429679696).

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

266351360 is a wasteful number, since it uses less digits than its factorization.

266351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 266351360 is about 16320.2745074953. The cubic root of 266351360 is about 643.4058019849.

The spelling of 266351360 in words is "two hundred sixty-six million, three hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 18917 37834 75668 94585 151336 189170 208087 302672 378340 416174 605344 756680 832348 1040435 1210688 1513360 1664696 2080870 2421376 3026720 3329392 4161740 4842752 6053440 6658784 8323480 12106880 13317568 16646960 24213760 26635136 33293920 53270272 66587840 133175680 266351360