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268017541 = 1128326687
BaseRepresentation
bin11111111100110…
…01111110000101
3200200022200221121
433332121332011
51022103030131
642332313541
76433053151
oct1776317605
9620280847
10268017541
1112831a600
12759128b1
13436b067c
142784a061
15187e2911
hexff99f85

268017541 has 12 divisors (see below), whose sum is σ = 298158336. Its totient is φ = 240707720.

The previous prime is 268017521. The next prime is 268017569. The reversal of 268017541 is 145710862.

It is not a de Polignac number, because 268017541 - 211 = 268015493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268017497 and 268017506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268017511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3301 + ... + 23386.

It is an arithmetic number, because the mean of its divisors is an integer number (24846528).

Almost surely, 2268017541 is an apocalyptic number.

It is an amenable number.

268017541 is a deficient number, since it is larger than the sum of its proper divisors (30140795).

268017541 is a wasteful number, since it uses less digits than its factorization.

268017541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26792 (or 26781 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 268017541 is about 16371.2412785347. The cubic root of 268017541 is about 644.7446386126.

The spelling of 268017541 in words is "two hundred sixty-eight million, seventeen thousand, five hundred forty-one".

Divisors: 1 11 83 121 913 10043 26687 293557 2215021 3229127 24365231 268017541