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268419073 = 13142914449
BaseRepresentation
bin11111111111111…
…00000000000001
3200201002002202011
433333330000001
51022203402243
642345052521
76436344616
oct1777740001
9621062664
10268419073
1112857424a
1275a87141
13437c1370
142791250d
151887189d
hexfffc001

268419073 has 8 divisors (see below), whose sum is σ = 289289000. Its totient is φ = 247580928.

The previous prime is 268419059. The next prime is 268419077. The reversal of 268419073 is 370914862.

It can be written as a sum of positive squares in 4 ways, for example, as 19158129 + 249260944 = 4377^2 + 15788^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268419073 is a prime.

It is the 16384-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (268419077) by changing a digit.

It is a nontrivial repunit in base 16383.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11353 + ... + 25801.

It is an arithmetic number, because the mean of its divisors is an integer number (36161125).

It is a Proth number, since it is equal to 16383 ⋅ 214 + 1 and 16383 < 214.

Almost surely, 2268419073 is an apocalyptic number.

It is an amenable number.

268419073 is a deficient number, since it is larger than the sum of its proper divisors (20869927).

268419073 is a wasteful number, since it uses less digits than its factorization.

268419073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15891.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 268419073 is about 16383.5000228889. The cubic root of 268419073 is about 645.0664539026.

The spelling of 268419073 in words is "two hundred sixty-eight million, four hundred nineteen thousand, seventy-three".

Divisors: 1 13 1429 14449 18577 187837 20647621 268419073