Search a number
-
+
1155323520 = 273351337139
BaseRepresentation
bin100010011011100…
…1101011010000000
32222111221111221000
41010313031122000
54331230323040
6310350332000
740426042101
oct10467153200
92874844830
101155323520
1154317172a
12282aba000
131554811b0
14ad6203a8
156b663130
hex44dcd680

1155323520 has 512 divisors, whose sum is σ = 4558176000. Its totient is φ = 274710528.

The previous prime is 1155323509. The next prime is 1155323567. The reversal of 1155323520 is 253235511.

It is a happy number.

1155323520 is a `hidden beast` number, since 115 + 5 + 3 + 23 + 520 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8311611 + ... + 8311749.

Almost surely, 21155323520 is an apocalyptic number.

1155323520 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 1155323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279088000).

1155323520 is an abundant number, since it is smaller than the sum of its proper divisors (3402852480).

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

1155323520 is a wasteful number, since it uses less digits than its factorization.

1155323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1155323520 is about 33990.0503088772. The cubic root of 1155323520 is about 1049.3037016232.

The spelling of 1155323520 in words is "one billion, one hundred fifty-five million, three hundred twenty-three thousand, five hundred twenty".