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266121128 = 237131721503
BaseRepresentation
bin11111101110010…
…10111110101000
3200112202100120002
433313022332220
51021111334003
642223522132
76410664230
oct1767127650
9615670502
10266121128
11127244819
1275159348
1343198430
14274b4cc0
151856aa88
hexfdcafa8

266121128 has 64 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 99081216.

The previous prime is 266121127. The next prime is 266121137. The reversal of 266121128 is 821121662.

It is a super-3 number, since 3×2661211283 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 266121128.

It is not an unprimeable number, because it can be changed into a prime (266121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625 + ... + 23127.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2266121128 is an apocalyptic number.

266121128 is a gapful number since it is divisible by the number (28) 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 266121128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

266121128 is an abundant number, since it is smaller than the sum of its proper divisors (384159832).

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

266121128 is a wasteful number, since it uses less digits than its factorization.

266121128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21546 (or 21542 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 266121128 is about 16313.2194247488. The cubic root of 266121128 is about 643.2203635893.

The spelling of 266121128 in words is "two hundred sixty-six million, one hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 12376 21503 43006 86012 150521 172024 279539 301042 365551 559078 602084 731102 1118156 1204168 1462204 1956773 2236312 2558857 2924408 3913546 4752163 5117714 7827092 9504326 10235428 15654184 19008652 20470856 33265141 38017304 66530282 133060564 266121128