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266605056 = 2932471231
BaseRepresentation
bin11111110010000…
…01001000000000
3200120122221101100
433321001020000
51021222330211
642242134400
76415051134
oct1771011000
9616587340
10266605056
11127545363
1275351400
1343307793
142759d3c4
1518614156
hexfe41200

266605056 has 120 divisors (see below), whose sum is σ = 786449664. Its totient is φ = 86906880.

The previous prime is 266605037. The next prime is 266605057. The reversal of 266605056 is 650506662.

266605056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 266605056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266605057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215961 + ... + 217191.

Almost surely, 2266605056 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 266605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832).

266605056 is an abundant number, since it is smaller than the sum of its proper divisors (519844608).

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

266605056 is a wasteful number, since it uses less digits than its factorization.

266605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 266605056 is about 16328.0450758809. The cubic root of 266605056 is about 643.6100155485.

The spelling of 266605056 in words is "two hundred sixty-six million, six hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1128 1152 1231 1504 1536 1692 2256 2304 2462 3008 3384 3693 4512 4608 4924 6016 6768 7386 9024 9848 11079 12032 13536 14772 18048 19696 22158 24064 27072 29544 36096 39392 44316 54144 57857 59088 72192 78784 88632 108288 115714 118176 157568 173571 177264 216576 231428 236352 315136 347142 354528 462856 472704 520713 630272 694284 709056 925712 945408 1041426 1388568 1418112 1851424 1890816 2082852 2777136 2836224 3702848 4165704 5554272 5672448 7405696 8331408 11108544 14811392 16662816 22217088 29622784 33325632 44434176 66651264 88868352 133302528 266605056