Search a number
-
+
1913457105 = 32572867781
BaseRepresentation
bin111001000001101…
…0000100111010001
311221100111200200200
41302003100213101
512404321111410
6513512005413
765263055100
oct16203204721
94840450620
101913457105
118a210770a
12454990869
13246565b51
141421ac037
15b2eba3c0
hex720d09d1

1913457105 has 36 divisors (see below), whose sum is σ = 3858158772. Its totient is φ = 874722240.

The previous prime is 1913457103. The next prime is 1913457107. The reversal of 1913457105 is 5017543191.

It is a happy number.

1913457105 is a `hidden beast` number, since 191 + 3 + 457 + 10 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1913457103) and next prime (1913457107).

It can be written as a sum of positive squares in 2 ways, for example, as 692373969 + 1221083136 = 26313^2 + 34944^2 .

It is not a de Polignac number, because 1913457105 - 21 = 1913457103 is a prime.

It is a super-2 number, since 2×19134571052 = 7322636185349962050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1913457105.

It is not an unprimeable number, because it can be changed into a prime (1913457103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431686 + ... + 436095.

It is an arithmetic number, because the mean of its divisors is an integer number (107171077).

Almost surely, 21913457105 is an apocalyptic number.

1913457105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1913457105 is an abundant number, since it is smaller than the sum of its proper divisors (1944701667).

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

1913457105 is a wasteful number, since it uses less digits than its factorization.

1913457105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867806 (or 867796 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1913457105 is about 43743.0806528301. The cubic root of 1913457105 is about 1241.4795695050.

The spelling of 1913457105 in words is "one billion, nine hundred thirteen million, four hundred fifty-seven thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 867781 2603343 4338905 6074467 7810029 13016715 18223401 30372335 39050145 42521269 54670203 91117005 127563807 212606345 273351015 382691421 637819035 1913457105