Search a number
-
+
1106860032 = 2113337541
BaseRepresentation
bin100000111111001…
…0101100000000000
32212010202022112000
41001332111200000
54231324010112
6301455504000
736300104115
oct10176254000
92763668460
101106860032
11518880363
1226a828000
13148413285
14a700690c
156728d7dc
hex41f95800

1106860032 has 192 divisors, whose sum is σ = 3373624800. Its totient is φ = 358318080.

The previous prime is 1106860031. The next prime is 1106860037. The reversal of 1106860032 is 2300686011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1106859978 and 1106860005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106860031) 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 15 ways as a sum of consecutive naturals, for example, 2045682 + ... + 2046222.

Almost surely, 21106860032 is an apocalyptic number.

1106860032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686812400).

1106860032 is an abundant number, since it is smaller than the sum of its proper divisors (2266764768).

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

1106860032 is an equidigital number, since it uses as much as digits as its factorization.

1106860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1106860032 is about 33269.5060378119. The cubic root of 1106860032 is about 1034.4215713548.

The spelling of 1106860032 in words is "one billion, one hundred six million, eight hundred sixty thousand, thirty-two".