Search a number
-
+
15768841 = 112194
BaseRepresentation
bin111100001001…
…110100001001
31002200010210011
4330021310021
513014100331
61321551521
7251014204
oct74116411
932603704
1015768841
1189a0400
1253455a1
13336159a
14214693b
1515b73b1
hexf09d09

15768841 has 15 divisors (see below), whose sum is σ = 18295613. Its totient is φ = 13580820.

The previous prime is 15768839. The next prime is 15768913. The reversal of 15768841 is 14886751.

15768841 = T94 + T95 + ... + T456.

The square root of 15768841 is 3971.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 15768841 - 21 = 15768839 is a prime.

Its product of digits (53760) is a multiple of the sum of its prime divisors (30).

It is a junction number, because it is equal to n+sod(n) for n = 15768794 and 15768803.

It is not an unprimeable number, because it can be changed into a prime (15768821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 829930 + ... + 829948.

Almost surely, 215768841 is an apocalyptic number.

15768841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15768841 is the 3971-st square number.

15768841 is the 1986-th centered octagonal number.

It is an amenable number.

15768841 is a deficient number, since it is larger than the sum of its proper divisors (2526772).

15768841 is an frugal number, since it uses more digits than its factorization.

15768841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The cubic root of 15768841 is about 250.7648098775.

The spelling of 15768841 in words is "fifteen million, seven hundred sixty-eight thousand, eight hundred forty-one".

Divisors: 1 11 19 121 209 361 2299 3971 6859 43681 75449 130321 829939 1433531 15768841