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268131937 = 1132698821
BaseRepresentation
bin11111111101101…
…01111001100001
3200200112111212111
433332311321201
51022120210222
642334555321
76434040523
oct1776657141
9620474774
10268131937
11128398547
1275968b41
1343720768
1427879a13
1518816777
hexffb5e61

268131937 has 8 divisors (see below), whose sum is σ = 271541160. Its totient is φ = 264741120.

The previous prime is 268131917. The next prime is 268132013. The reversal of 268131937 is 739131862.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 263705121 = 2104^2 + 16239^2 .

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-268131937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268131937.

It is not an unprimeable number, because it can be changed into a prime (268131917) 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 7 ways as a sum of consecutive naturals, for example, 25987 + ... + 34807.

It is an arithmetic number, because the mean of its divisors is an integer number (33942645).

Almost surely, 2268131937 is an apocalyptic number.

It is an amenable number.

268131937 is a deficient number, since it is larger than the sum of its proper divisors (3409223).

268131937 is a wasteful number, since it uses less digits than its factorization.

268131937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203.

The product of its digits is 54432, while the sum is 40.

The square root of 268131937 is about 16374.7347154084. The cubic root of 268131937 is about 644.8363561376.

The spelling of 268131937 in words is "two hundred sixty-eight million, one hundred thirty-one thousand, nine hundred thirty-seven".

Divisors: 1 113 269 8821 30397 996773 2372849 268131937