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266180416 = 265397809
BaseRepresentation
bin11111101110110…
…01011101000000
3200112212100212221
433313121131000
51021120233131
642225100424
76411332125
oct1767313500
9615770787
10266180416
11127285317
1275187714
13431b9408
14274cc74c
151857d411
hexfdd9740

266180416 has 56 divisors (see below), whose sum is σ = 544388040. Its totient is φ = 129073152.

The previous prime is 266180401. The next prime is 266180423. The reversal of 266180416 is 614081662.

It can be written as a sum of positive squares in 4 ways, for example, as 109830400 + 156350016 = 10480^2 + 12504^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328620 + ... + 329428.

It is an arithmetic number, because the mean of its divisors is an integer number (9721215).

Almost surely, 2266180416 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 266180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272194020).

266180416 is an abundant number, since it is smaller than the sum of its proper divisors (278207624).

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

266180416 is an equidigital number, since it uses as much as digits as its factorization.

266180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 266180416 is about 16315.0365001124. The cubic root of 266180416 is about 643.2681268234.

The spelling of 266180416 in words is "two hundred sixty-six million, one hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 97 106 194 212 388 424 776 809 848 1552 1618 1696 3104 3236 3392 5141 6208 6472 10282 12944 20564 25888 41128 42877 51776 78473 82256 85754 156946 164512 171508 313892 329024 343016 627784 686032 1255568 1372064 2511136 2744128 4159069 5022272 8318138 16636276 33272552 66545104 133090208 266180416