Search a number
-
+
1194009120 = 253352361197
BaseRepresentation
bin100011100101011…
…0010001000100000
310002012201221121000
41013022302020200
54421131242440
6314251432000
741405624103
oct10712621040
93065657530
101194009120
11562a947a7
12293a55600
131604a7695
14b481073a
156ec55730
hex472b2220

1194009120 has 384 divisors, whose sum is σ = 4454714880. Its totient is φ = 298045440.

The previous prime is 1194009107. The next prime is 1194009133. The reversal of 1194009120 is 219004911.

It is an interprime number because it is at equal distance from previous prime (1194009107) and next prime (1194009133).

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

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 63 ways as a sum of consecutive naturals, for example, 6060862 + ... + 6061058.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 21194009120 is an apocalyptic number.

1194009120 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 1194009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227357440).

1194009120 is an abundant number, since it is smaller than the sum of its proper divisors (3260705760).

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

1194009120 is a wasteful number, since it uses less digits than its factorization.

1194009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1194009120 is about 34554.4370522803. The cubic root of 1194009120 is about 1060.8872125836.

The spelling of 1194009120 in words is "one billion, one hundred ninety-four million, nine thousand, one hundred twenty".