Search a number
-
+
116406641 = 1310188657
BaseRepresentation
bin1101111000000…
…11100101110001
322010001001220002
412330003211301
5214300003031
615314555345
72612303651
oct674034561
9263031802
10116406641
115a78803a
1232b98b55
131b169490
1411662361
15a345ccb
hex6f03971

116406641 has 8 divisors (see below), whose sum is σ = 126603624. Its totient is φ = 106387200.

The previous prime is 116406637. The next prime is 116406679. The reversal of 116406641 is 146604611.

It can be written as a sum of positive squares in 4 ways, for example, as 29376400 + 87030241 = 5420^2 + 9329^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 116406641 - 22 = 116406637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116406341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43016 + ... + 45641.

It is an arithmetic number, because the mean of its divisors is an integer number (15825453).

Almost surely, 2116406641 is an apocalyptic number.

It is an amenable number.

116406641 is a deficient number, since it is larger than the sum of its proper divisors (10196983).

116406641 is a wasteful number, since it uses less digits than its factorization.

116406641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88771.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 116406641 is about 10789.1909335223. The cubic root of 116406641 is about 488.2691130226.

It can be divided in two parts, 11640 and 6641, that added together give a palindrome (18281).

The spelling of 116406641 in words is "one hundred sixteen million, four hundred six thousand, six hundred forty-one".

Divisors: 1 13 101 1313 88657 1152541 8954357 116406641