Search a number
-
+
1118834640 = 243357211312
BaseRepresentation
bin100001010110000…
…0000111111010000
32212222021200121000
41002230000333100
54242410202030
6303004302000
736503636400
oct10254007720
92788250530
101118834640
1152460a030
12272841900
1314aa46841
14a8842800
1568356860
hex42b00fd0

1118834640 has 720 divisors, whose sum is σ = 5053337280. Its totient is φ = 224985600.

The previous prime is 1118834623. The next prime is 1118834653. The reversal of 1118834640 is 464388111.

It is a happy number.

1118834640 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 8 + 3 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 1118834595 and 1118834604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36091425 + ... + 36091455.

It is an arithmetic number, because the mean of its divisors is an integer number (7018524).

Almost surely, 21118834640 is an apocalyptic number.

1118834640 is a gapful number since it is divisible by the number (10) 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 1118834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526668640).

1118834640 is an abundant number, since it is smaller than the sum of its proper divisors (3934502640).

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

1118834640 is a wasteful number, since it uses less digits than its factorization.

1118834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1118834640 is about 33448.9856348440. The cubic root of 1118834640 is about 1038.1385093659.

The spelling of 1118834640 in words is "one billion, one hundred eighteen million, eight hundred thirty-four thousand, six hundred forty".