Search a number
-
+
1135309032 = 23321113313557
BaseRepresentation
bin100001110101011…
…0111000011101000
32221010021200012200
41003222313003220
54311114342112
6304353340200
740063652604
oct10352670350
92833250180
101135309032
11532941530
12278267660
131512942c0
14aaad0504
1569a0ccdc
hex43ab70e8

1135309032 has 192 divisors, whose sum is σ = 3729922560. Its totient is φ = 307238400.

The previous prime is 1135309027. The next prime is 1135309051. The reversal of 1135309032 is 2309035311.

It is a happy number.

1135309032 is a `hidden beast` number, since 1 + 13 + 530 + 90 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1135308987 and 1135309005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317398 + ... + 320954.

It is an arithmetic number, because the mean of its divisors is an integer number (19426680).

Almost surely, 21135309032 is an apocalyptic number.

1135309032 is a gapful number since it is divisible by the number (12) 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 1135309032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864961280).

1135309032 is an abundant number, since it is smaller than the sum of its proper divisors (2594613528).

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

1135309032 is a wasteful number, since it uses less digits than its factorization.

1135309032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1135309032 is about 33694.3471816861. The cubic root of 1135309032 is about 1043.2090940287.

The spelling of 1135309032 in words is "one billion, one hundred thirty-five million, three hundred nine thousand, thirty-two".