Search a number
-
+
1115532000 = 25345311313
BaseRepresentation
bin100001001111101…
…1010101011100000
32212202001220020000
41002133122223200
54241034011000
6302405420000
736433602612
oct10237325340
92782056200
101115532000
11522763780
1227170a600
1314a15b50b
14a8222db2
1567e03000
hex427daae0

1115532000 has 480 divisors, whose sum is σ = 4480860384. Its totient is φ = 269568000.

The previous prime is 1115531957. The next prime is 1115532001. The reversal of 1115532000 is 2355111.

1115532000 is a `hidden beast` number, since 111 + 553 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115532001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3563844 + ... + 3564156.

Almost surely, 21115532000 is an apocalyptic number.

1115532000 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 1115532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240430192).

1115532000 is an abundant number, since it is smaller than the sum of its proper divisors (3365328384).

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

1115532000 is a wasteful number, since it uses less digits than its factorization.

1115532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1115532000 is about 33399.5808356931. The cubic root of 1115532000 is about 1037.1160237772.

Adding to 1115532000 its reverse (2355111), we get a palindrome (1117887111).

The spelling of 1115532000 in words is "one billion, one hundred fifteen million, five hundred thirty-two thousand".