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266371056 = 2432735393
BaseRepresentation
bin11111110000001…
…11111111110000
3200120020001101200
433320013333300
51021142333211
642233131200
76413055000
oct1770077760
9616201350
10266371056
111273a5576
1275259b00
1343255113
142753c000
15185b9b56
hexfe07ff0

266371056 has 120 divisors (see below), whose sum is σ = 869512800. Its totient is φ = 76091904.

The previous prime is 266371033. The next prime is 266371093. The reversal of 266371056 is 650173662.

266371056 is a `hidden beast` number, since 2 + 6 + 637 + 10 + 5 + 6 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 266371056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46696 + ... + 52088.

It is an arithmetic number, because the mean of its divisors is an integer number (7245940).

Almost surely, 2266371056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266371056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434756400).

266371056 is an abundant number, since it is smaller than the sum of its proper divisors (603141744).

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

266371056 is a wasteful number, since it uses less digits than its factorization.

266371056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 266371056 is about 16320.8779175631. The cubic root of 266371056 is about 643.4216609970.

The spelling of 266371056 in words is "two hundred sixty-six million, three hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5393 5488 6174 7056 8232 10786 12348 16179 16464 21572 24696 32358 37751 43144 48537 49392 64716 75502 86288 97074 113253 129432 151004 194148 226506 258864 264257 302008 339759 388296 453012 528514 604016 679518 776592 792771 906024 1057028 1359036 1585542 1812048 1849799 2114056 2378313 2718072 3171084 3699598 4228112 4756626 5436144 5549397 6342168 7399196 9513252 11098794 12684336 14798392 16648191 19026504 22197588 29596784 33296382 38053008 44395176 66592764 88790352 133185528 266371056