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266540832 = 25324321523
BaseRepresentation
bin11111110001100…
…01011100100000
3200120112200021200
433320301130200
51021213301312
642240521200
76414362655
oct1770613440
9616480250
10266540832
11127501088
1275320200
13432b448c
1427583c2c
15186000dc
hexfe31720

266540832 has 72 divisors (see below), whose sum is σ = 775638864. Its totient is φ = 86776704.

The previous prime is 266540831. The next prime is 266540863. The reversal of 266540832 is 238045662.

266540832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (266540831) 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, 1623 + ... + 23145.

It is an arithmetic number, because the mean of its divisors is an integer number (10772762).

Almost surely, 2266540832 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 266540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387819432).

266540832 is an abundant number, since it is smaller than the sum of its proper divisors (509098032).

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

266540832 is a wasteful number, since it uses less digits than its factorization.

266540832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582 (or 21571 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 266540832 is about 16326.0782798564. The cubic root of 266540832 is about 643.5583304456.

The spelling of 266540832 in words is "two hundred sixty-six million, five hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 21523 43046 64569 86092 129138 172184 193707 258276 344368 387414 516552 688736 774828 925489 1033104 1549656 1850978 2066208 2776467 3099312 3701956 5552934 6198624 7403912 8329401 11105868 14807824 16658802 22211736 29615648 33317604 44423472 66635208 88846944 133270416 266540832