Search a number
-
+
1094540832 = 253272112641
BaseRepresentation
bin100000100111101…
…0101111000100000
32211021120102202100
41001033111320200
54220200301312
6300335450400
736060305100
oct10117257040
92737512670
101094540832
11511926800
12266686a00
131459bbbc8
14a551b200
15661585dc
hex413d5e20

1094540832 has 324 divisors, whose sum is σ = 3986074638. Its totient is φ = 283852800.

The previous prime is 1094540827. The next prime is 1094540833. The reversal of 1094540832 is 2380454901.

1094540832 is a `hidden beast` number, since 109 + 4 + 540 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 718025616 + 376515216 = 26796^2 + 19404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1094540833) 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 53 ways as a sum of consecutive naturals, for example, 1707232 + ... + 1707872.

Almost surely, 21094540832 is an apocalyptic number.

1094540832 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 1094540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993037319).

1094540832 is an abundant number, since it is smaller than the sum of its proper divisors (2891533806).

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

1094540832 is a wasteful number, since it uses less digits than its factorization.

1094540832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1094540832 is about 33083.8454838612. The cubic root of 1094540832 is about 1030.5695885013.

The spelling of 1094540832 in words is "one billion, ninety-four million, five hundred forty thousand, eight hundred thirty-two".