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1132552160 = 25525128201
BaseRepresentation
bin100001110000001…
…0101111111100000
32220221002121111022
41003200111333200
54304413132120
6304214305012
740031351225
oct10340257740
92827077438
101132552160
11531329223
12277358168
1315083a50c
14aa5b394c
1569666025
hex43815fe0

1132552160 has 48 divisors (see below), whose sum is σ = 2686409712. Its totient is φ = 451200000.

The previous prime is 1132552159. The next prime is 1132552163. The reversal of 1132552160 is 612552311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132552163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26060 + ... + 54260.

It is an arithmetic number, because the mean of its divisors is an integer number (55966869).

Almost surely, 21132552160 is an apocalyptic number.

1132552160 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 1132552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343204856).

1132552160 is an abundant number, since it is smaller than the sum of its proper divisors (1553857552).

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

1132552160 is a wasteful number, since it uses less digits than its factorization.

1132552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28467 (or 28459 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1132552160 is about 33653.4123084124. The cubic root of 1132552160 is about 1042.3640010680.

The spelling of 1132552160 in words is "one billion, one hundred thirty-two million, five hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 2008 2510 4016 5020 8032 10040 20080 28201 40160 56402 112804 141005 225608 282010 451216 564020 902432 1128040 2256080 4512160 7078451 14156902 28313804 35392255 56627608 70784510 113255216 141569020 226510432 283138040 566276080 1132552160