Search a number
-
+
1161530496 = 273372193
BaseRepresentation
bin100010100111011…
…1000110010000000
32222221121212022000
41011032320302000
54334322433441
6311131344000
740532563200
oct10516706200
92887555260
101161530496
11546721065
12284bb2000
13156845469
14b0398400
156be8c2b6
hex453b8c80

1161530496 has 384 divisors, whose sum is σ = 4209336000. Its totient is φ = 314399232.

The previous prime is 1161530483. The next prime is 1161530497. The reversal of 1161530496 is 6940351611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1161530496 is a `hidden beast` number, since 1 + 1 + 615 + 30 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1161530496.

It is not an unprimeable number, because it can be changed into a prime (1161530497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61133175 + ... + 61133193.

Almost surely, 21161530496 is an apocalyptic number.

1161530496 is a gapful number since it is divisible by the number (16) 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 1161530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104668000).

1161530496 is an abundant number, since it is smaller than the sum of its proper divisors (3047805504).

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

1161530496 is an frugal number, since it uses more digits than its factorization.

1161530496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1161530496 is about 34081.2337804839. The cubic root of 1161530496 is about 1051.1794745893.

The spelling of 1161530496 in words is "one billion, one hundred sixty-one million, five hundred thirty thousand, four hundred ninety-six".