Search a number
-
+
1093606144 = 2812733637
BaseRepresentation
bin100000100101111…
…0001101100000000
32211012210221121021
41001023301230000
54214430344034
6300303435224
736046333051
oct10113615400
92735727537
101093606144
11511348534
122662b5b14
13145752637
14a5356728
15660216b4
hex412f1b00

1093606144 has 36 divisors (see below), whose sum is σ = 2200194304. Its totient is φ = 542481408.

The previous prime is 1093606133. The next prime is 1093606159. The reversal of 1093606144 is 4416063901.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15694 + ... + 49330.

Almost surely, 21093606144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100097152).

1093606144 is an abundant number, since it is smaller than the sum of its proper divisors (1106588160).

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

1093606144 is an equidigital number, since it uses as much as digits as its factorization.

1093606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33780 (or 33766 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1093606144 is about 33069.7164184999. The cubic root of 1093606144 is about 1030.2761518007.

The spelling of 1093606144 in words is "one billion, ninety-three million, six hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 1016 2032 4064 8128 16256 32512 33637 67274 134548 269096 538192 1076384 2152768 4271899 4305536 8543798 8611072 17087596 34175192 68350384 136700768 273401536 546803072 1093606144